Substituez les valeurs : \( 2(3w + w) = 320 \).
["Article Title: How to Solve ( 2(3w + w) = 320 ): Step-by-Step Explanation", "---", "Introduction\nSolving equations like ( 2(3w + w) = 320 ) is a fundamental skill in algebra, essential for students and professionals alike. Whether you're simplifying expressions, solving word problems, or preparing for advanced math, understanding how to manipulate and solve such equations precisely is crucial. In this article, we will break down the step-by-step process to solve ( 2(3w + w) = 320 ), clarify common mistakes, and provide practical tips to make equation solving easier.", "---", "Step 1: Simplify Inside the Parentheses\nStart by simplifying the expression within the parentheses:\n[\n3w + w = 4w\n]\nSo the equation becomes:\n[\n2(4w) = 320\n]", "---", "Step 2: Multiply\nNext, multiply:\n[\n2 \ imes 4w = 8w\n]\nNow the equation is:\n[\n8w = 320\n]", "---", "Step 3: Isolate the Variable\nTo solve for ( w ), divide both sides by 8:\n[\nw = \frac{320}{8} = 40\n]", "---", "Final Solution\n[\n\boxed{w = 40}\n]", "---", "Why This Equation Matters\nEquations in this form—linear equations with one variable—are the building blocks of algebra. Solving ( 2(3w + w) = 320 ) teaches key concepts such as:\n- Distributing multiplication across parentheses\n- Combining like terms\n- Using inverse operations to isolate the variable", "---", "Common Mistakes to Avoid\n- Forgetting to distribute the 2 before combining terms\n- Incorrectly combining ( 3w + w ) as ( 3 + w ) instead of ( 4w )\n- Dividing incorrectly or miscalculating the final result", "---", "Practice Tips\nTo master equations like this, practice substituting values into the original equation to verify solutions. For example, plug ( w = 40 ) into ( 2(3w + w) ):\n[\n2(3 \ imes 40 + 40) = 2(120 + 40) = 2 \ imes 160 = 320\n]\nThe equation holds true—great confirmation!", "---", "Conclusion\nSolving ( 2(3w + w) = 320 ) follows a clear, logical sequence: simplify, multiply, and isolate. By mastering each step and understanding why each operation is performed, you gain confidence in algebra and strengthen your foundation for more complex topics. Keep practicing, and soon equations like this will feel second nature!", "---", "Keywords for SEO:\nSubstituez les valeurs, résoudre équation, équation linéaire, résoudre ( 2(3w + w) = 320 ), pas à pas álgebra, méthode résolution équation, apprendre à résoudre équations, exercices algèbre linéaire.", "---", "Meta Description:\nLearn step-by-step how to solve ( 2(3w + w) = 320 ) with clear explanations, common errors, and practice tips. Perfect for students mastering algebra fundamentals."]
