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Simplifying 9(w + 6) = 8w + -14 Reorder the terms: 9(6 + w) = 8w + -14 (6 * 9 + w * 9) = 8w + -14 (54 + 9w) = 8w + -14 Reorder the terms: 54 + 9w = -14 + 8w Solving 54 + 9w = -14 + 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. 54 + 9w + -8w = -14 + 8w + -8w Combine like terms: 9w + -8w = 1w 54 + 1w = -14 + 8w + -8w Combine like terms: 8w + -8w = 0 54 + 1w = -14 + 0 54 + 1w = -14 Add '-54' to each side of the equation. 54 + -54 + 1w = -14 + -54 Combine like terms: 54 + -54 = 0 0 + 1w = -14 + -54 1w = -14 + -54 Combine like terms: -14 + -54 = -68 1w = -68 Divide each side by '1'. w = -68 Simplifying w = -68
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