["# Solving the Equation: 2(2w + w) = 60", "Understanding linear equations is essential in algebra, and solving ( 2(2w + w) = 60 ) is a great way to practice fundamental problem-solving skills. This equation appears simple at first glance, but breaking it down step-by-step reveals clear methods that apply to many real-life scenarios—from budgeting to scientific calculations.", "## Why Learn to Solve This Equation?", "Equation-solving forms the foundation of mathematics and develops logical thinking. Mastering equations like ( 2(2w + w) = 60 ) helps build confidence in manipulating variables, which is vital in advanced math, physics, engineering, and even everyday decision-making.", "## Step-by-Step Solution", "Start with the original equation:
\n[
\n2(2w + w) = 60
\n]", "Step 1: Simplify inside the parentheses
\nCombine like terms inside the parentheses:
\n[
\n2w + w = 3w
\n]
\nSo the equation becomes:
\n[
\n2(3w) = 60
\n]", "Step 2: Multiply
\nPerform the multiplication on the left side:
\n[
\n6w = 60
\n]", "Step 3: Solve for ( w )
\nDivide both sides by 6:
\n[
\nw = \frac{60}{6} = 10
\n]", "The solution is:
\n[
\nw = 10
\n]", "## Real-World Application", "Suppose you're planning a small business venture. If your cost per unit ( w ) multiplied by (2 units for packaging and 1 unit for labor) equals $60 (representing total variable costs), solving ( 2(2w + w) = 60 ) reveals that each unit costs $10. This insight guides pricing, inventory, and forecasting.", "## Verifying the Solution", "To confirm: substitute ( w = 10 ) back into the original equation:
\n[
\n2(2(10) + 10) = 2(20 + 10) = 2(30) = 60
\n]
\n✓ The equation holds true.", "## Conclusion", "The equation ( 2(2w + w) = 60 ) is a classic example of a linear equation that reinforces basic algebra skills. By simplifying step-by-step, isolating the variable, and verifying the result, anyone can develop a solid mathematical foundation. Mastering such problems empowers clearer reasoning and opens doors to more complex mathematical challenges.", "Whether you're a student, teacher, or lifelong learner, practicing equations like this keeps your analytical skills sharp—and your problem-solving abilities stronger. Start with small steps, stay consistent, and unlock the power of algebra.", "---", "Keywords: solve ( 2(2w + w) = 60 ), linear equation, algebra practice, step-by-step solving, real-world math applications, equation verification.
\nMeta description: Learn how to solve ( 2(2w + w) = 60 ) step-by-step. Master fundamental algebra and see practical uses in business and problem-solving.
\nTags: algebra, equation solving, math tutorial, linear equations, problem-solving, high school math, math tips"]
