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Simplifying 8(1 + w) = 7(8 + w) (1 * 8 + w * 8) = 7(8 + w) (8 + 8w) = 7(8 + w) 8 + 8w = (8 * 7 + w * 7) 8 + 8w = (56 + 7w) Solving 8 + 8w = 56 + 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. 8 + 8w + -7w = 56 + 7w + -7w Combine like terms: 8w + -7w = 1w 8 + 1w = 56 + 7w + -7w Combine like terms: 7w + -7w = 0 8 + 1w = 56 + 0 8 + 1w = 56 Add '-8' to each side of the equation. 8 + -8 + 1w = 56 + -8 Combine like terms: 8 + -8 = 0 0 + 1w = 56 + -8 1w = 56 + -8 Combine like terms: 56 + -8 = 48 1w = 48 Divide each side by '1'. w = 48 Simplifying w = 48
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