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Simplifying 9(7 + w) = 8(w + -1) (7 * 9 + w * 9) = 8(w + -1) (63 + 9w) = 8(w + -1) Reorder the terms: 63 + 9w = 8(-1 + w) 63 + 9w = (-1 * 8 + w * 8) 63 + 9w = (-8 + 8w) Solving 63 + 9w = -8 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 63 + 9w + -8w = -8 + 8w + -8w Combine like terms: 9w + -8w = 1w 63 + 1w = -8 + 8w + -8w Combine like terms: 8w + -8w = 0 63 + 1w = -8 + 0 63 + 1w = -8 Add '-63' to each side of the equation. 63 + -63 + 1w = -8 + -63 Combine like terms: 63 + -63 = 0 0 + 1w = -8 + -63 1w = -8 + -63 Combine like terms: -8 + -63 = -71 1w = -71 Divide each side by '1'. w = -71 Simplifying w = -71
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