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Simplifying 8(3 + w) = 7(2 + w) (3 * 8 + w * 8) = 7(2 + w) (24 + 8w) = 7(2 + w) 24 + 8w = (2 * 7 + w * 7) 24 + 8w = (14 + 7w) Solving 24 + 8w = 14 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 24 + 8w + -7w = 14 + 7w + -7w Combine like terms: 8w + -7w = 1w 24 + 1w = 14 + 7w + -7w Combine like terms: 7w + -7w = 0 24 + 1w = 14 + 0 24 + 1w = 14 Add '-24' to each side of the equation. 24 + -24 + 1w = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 1w = 14 + -24 1w = 14 + -24 Combine like terms: 14 + -24 = -10 1w = -10 Divide each side by '1'. w = -10 Simplifying w = -10
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