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Simplifying 2(w + 6) + -1(9w + -5) = -8w Reorder the terms: 2(6 + w) + -1(9w + -5) = -8w (6 * 2 + w * 2) + -1(9w + -5) = -8w (12 + 2w) + -1(9w + -5) = -8w Reorder the terms: 12 + 2w + -1(-5 + 9w) = -8w 12 + 2w + (-5 * -1 + 9w * -1) = -8w 12 + 2w + (5 + -9w) = -8w Reorder the terms: 12 + 5 + 2w + -9w = -8w Combine like terms: 12 + 5 = 17 17 + 2w + -9w = -8w Combine like terms: 2w + -9w = -7w 17 + -7w = -8w Solving 17 + -7w = -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. 17 + -7w + 8w = -8w + 8w Combine like terms: -7w + 8w = 1w 17 + 1w = -8w + 8w Combine like terms: -8w + 8w = 0 17 + 1w = 0 Add '-17' to each side of the equation. 17 + -17 + 1w = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 1w = 0 + -17 1w = 0 + -17 Combine like terms: 0 + -17 = -17 1w = -17 Divide each side by '1'. w = -17 Simplifying w = -17
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