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Simplifying 8(6 + w) = 7(5 + w) (6 * 8 + w * 8) = 7(5 + w) (48 + 8w) = 7(5 + w) 48 + 8w = (5 * 7 + w * 7) 48 + 8w = (35 + 7w) Solving 48 + 8w = 35 + 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. 48 + 8w + -7w = 35 + 7w + -7w Combine like terms: 8w + -7w = 1w 48 + 1w = 35 + 7w + -7w Combine like terms: 7w + -7w = 0 48 + 1w = 35 + 0 48 + 1w = 35 Add '-48' to each side of the equation. 48 + -48 + 1w = 35 + -48 Combine like terms: 48 + -48 = 0 0 + 1w = 35 + -48 1w = 35 + -48 Combine like terms: 35 + -48 = -13 1w = -13 Divide each side by '1'. w = -13 Simplifying w = -13
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