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Simplifying 3(5 + w) = 2(4 + w) (5 * 3 + w * 3) = 2(4 + w) (15 + 3w) = 2(4 + w) 15 + 3w = (4 * 2 + w * 2) 15 + 3w = (8 + 2w) Solving 15 + 3w = 8 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 15 + 3w + -2w = 8 + 2w + -2w Combine like terms: 3w + -2w = 1w 15 + 1w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 15 + 1w = 8 + 0 15 + 1w = 8 Add '-15' to each side of the equation. 15 + -15 + 1w = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 1w = 8 + -15 1w = 8 + -15 Combine like terms: 8 + -15 = -7 1w = -7 Divide each side by '1'. w = -7 Simplifying w = -7
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