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Simplifying 3(w + 5) = 2(2w + 5) Reorder the terms: 3(5 + w) = 2(2w + 5) (5 * 3 + w * 3) = 2(2w + 5) (15 + 3w) = 2(2w + 5) Reorder the terms: 15 + 3w = 2(5 + 2w) 15 + 3w = (5 * 2 + 2w * 2) 15 + 3w = (10 + 4w) Solving 15 + 3w = 10 + 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. 15 + 3w + -4w = 10 + 4w + -4w Combine like terms: 3w + -4w = -1w 15 + -1w = 10 + 4w + -4w Combine like terms: 4w + -4w = 0 15 + -1w = 10 + 0 15 + -1w = 10 Add '-15' to each side of the equation. 15 + -15 + -1w = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -1w = 10 + -15 -1w = 10 + -15 Combine like terms: 10 + -15 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5
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