So, \( 2(3w + w) = 64 \).
["### Solve the Equation: ( 2(3w + w) = 64 ) – A Step-by-Step Guide", "If you're tackling the equation ( 2(3w + w) = 64 ), you're not alone—this type of linear equation is a fundamental algebra skill that appears frequently in math education and real-world problem solving. Whether you're a student, teacher, or a self-learner, understanding how to solve this equation efficiently can boost your confidence in algebra.", "In this SEO-optimized article, we’ll walk you through solving ( 2(3w + w) = 64 ) step by step, explain the logic behind each move, and share tips to help you master equations like this one. Let’s dive in!", "---", "### What Is the Equation?", "The equation is:\n[\n2(3w + w) = 64\n]", "This expression combines parentheses, distribution, and linear combination—key concepts in solving real-world and mathematical problems involving variables. Our goal is to isolate ( w ) and find its value.", "---", "### Step-by-Step Solution", "#### Step 1: Simplify Inside the Parentheses", "Start by simplifying the expression inside the parentheses:\n[\n3w + w = 4w\n]\nSo the equation becomes:\n[\n2(4w) = 64\n]", "#### Step 2: Apply the Distributive Property", "Multiply 2 by ( 4w ):\n[\n2 \ imes 4w = 8w\n]\nNow the equation is:\n[\n8w = 64\n]", "#### Step 3: Solve for ( w )", "To find ( w ), divide both sides by 8:\n[\nw = \frac{64}{8} = 8\n]", "---", "### Final Answer", "[\n\boxed{w = 8}\n]", "---", "### Why Understanding This Equation Matters (SEO Keyword Focus)", "Solving equations like ( 2(3w + w) = 64 ) builds critical thinking and algebraic fluency. This type of linear equation modeling—is essential not only for standardized tests but also for real-life applications such as budgeting, physics, and engineering. Mastering these steps improves your ability to interpret and manipulate mathematical relationships in everyday problems.", "---", "### Tips for Solving Similar Equations", "- Always simplify expressions inside parentheses first.\n- Apply the distributive property carefully.\n- Perform inverse operations (addition/subtraction, multiplication/division) to isolate the variable.\n- Check your solution by substituting ( w = 8 ) back into the original equation.", "Original Equation: ( 2(3w + w) = 64 )\nSolved: ( w = 8 )\nKeywords: solve algebraic equation, linear equations, algebra tutorial, solve for ( w ), step-by-step math, equation solving techniques.", "---", "### Summary", "Understanding how to solve ( 2(3w + w) = 64 ) not only provides a clear answer but strengthens your mathematical foundation. With practice and clear steps, you can confidently tackle similar equations—essential for academic success and beyond. Keep practicing, and consider exploring related topics like inequalities or systems of equations to expand your algebra skills further.", "---", "Meta Description for SEO:\nLearn how to solve ( 2(3w + w) = 64 ) step-by-step with clear explanations, tips, and real-world relevance. Perfect for students mastering algebra fundamentals.", "---", "If you found this guide helpful, share it with classmates or bookmark it for future reference! Equation solving doesn’t have to be hard—with practice, you’ll solve them faster and more confidently every day."]
