Simplify: \(2(3w + 3) = 54\), \(6w + 6 = 54\), \(6w = 48\), \(w = 8\).
["# How to Simplify the Equation: Step-by-Step Guide to Solving (2(3w + 3) = 54)", "Solving linear equations step by step not only builds strong math skills but also improves problem-solving abilities. In this article, we’ll walk through simplifying and solving the equation:\n[ 2(3w + 3) = 54 ]\nauto-simplifying each stage to ensure clarity and mastery.", "---", "### Step 1: Distribute the 2 Across the Parentheses\nThe equation begins with a coefficient multiplying the parentheses:\n[ 2(3w + 3) = 54 ]\nApply the distributive property:\n[ 2 \cdot 3w + 2 \cdot 3 = 54 ]\nSimplify:\n[ 6w + 6 = 54 ]\nThis matches the second step in the original:\n[ 6w + 6 = 54 ]", "---", "### Step 2: Eliminate the Constant Term\nTo isolate the term with ( w ), subtract 6 from both sides:\n[ 6w + 6 - 6 = 54 - 6 ]\nSimplify:\n[ 6w = 48 ]\nThis matches the third step:\n[ 6w = 48 ]", "---", "### Step 3: Solve for ( w )\nDivide both sides by 6 to solve for ( w ):\n[ \frac{6w}{6} = \frac{48}{6} ]\nSimplify:\n[ w = 8 ]\nThis confirms the final answer:\n[ w = 8 ]", "---", "### Why Simplifying Step-by-Step Matters\nBreaking equations into small, manageable steps helps avoid mistakes and reinforces key algebraic concepts such as:\n- Distributing coefficients across parentheses\n- Adding and subtracting constants to isolate variables\n- Dividing evenly to solve for unknowns", "Whether you’re learning these steps for the first time or brushing up, mastering this process builds confidence and precision.", "---", "### Summary\nTo solve (2(3w + 3) = 54):\n1. Distribute: (6w + 6 = 54)\n2. Subtract 6: (6w = 48)\n3. Divide by 6: (w = 8)", "Efficient equation solving starts with careful simplification—exactly what we’ve walked through here.", "---", "Keywords: solve linear equations, algebra simplification, step-by-step equation solving, how to solve (2(3w + 3) = 54), stepwise math tutorial, solving for (w), elementary algebra for students", "---", "If you want to practice more problems like this, explore our full guide to algebraic equations and master skills essential for algebra success!"]
