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Simplifying 9(w + 8) = 8w + -7 Reorder the terms: 9(8 + w) = 8w + -7 (8 * 9 + w * 9) = 8w + -7 (72 + 9w) = 8w + -7 Reorder the terms: 72 + 9w = -7 + 8w Solving 72 + 9w = -7 + 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. 72 + 9w + -8w = -7 + 8w + -8w Combine like terms: 9w + -8w = 1w 72 + 1w = -7 + 8w + -8w Combine like terms: 8w + -8w = 0 72 + 1w = -7 + 0 72 + 1w = -7 Add '-72' to each side of the equation. 72 + -72 + 1w = -7 + -72 Combine like terms: 72 + -72 = 0 0 + 1w = -7 + -72 1w = -7 + -72 Combine like terms: -7 + -72 = -79 1w = -79 Divide each side by '1'. w = -79 Simplifying w = -79
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