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Simplifying 2(w + -6) + -1(5 + -7w) = 8w Reorder the terms: 2(-6 + w) + -1(5 + -7w) = 8w (-6 * 2 + w * 2) + -1(5 + -7w) = 8w (-12 + 2w) + -1(5 + -7w) = 8w -12 + 2w + (5 * -1 + -7w * -1) = 8w -12 + 2w + (-5 + 7w) = 8w Reorder the terms: -12 + -5 + 2w + 7w = 8w Combine like terms: -12 + -5 = -17 -17 + 2w + 7w = 8w Combine like terms: 2w + 7w = 9w -17 + 9w = 8w Solving -17 + 9w = 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 + 9w + -8w = 8w + -8w Combine like terms: 9w + -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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