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Simplifying 5w + 2(5) = 4w + 2(5) Multiply 2 * 5 5w + 10 = 4w + 2(5) Reorder the terms: 10 + 5w = 4w + 2(5) Multiply 2 * 5 10 + 5w = 4w + 10 Reorder the terms: 10 + 5w = 10 + 4w Add '-10' to each side of the equation. 10 + -10 + 5w = 10 + -10 + 4w Combine like terms: 10 + -10 = 0 0 + 5w = 10 + -10 + 4w 5w = 10 + -10 + 4w Combine like terms: 10 + -10 = 0 5w = 0 + 4w 5w = 4w Solving 5w = 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 5w + -4w = 4w + -4w Combine like terms: 5w + -4w = 1w 1w = 4w + -4w Combine like terms: 4w + -4w = 0 1w = 0 Divide each side by '1'. w = 0 Simplifying w = 0
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