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Simplifying -3(w + -6) + -1(7w + -8) = -11w Reorder the terms: -3(-6 + w) + -1(7w + -8) = -11w (-6 * -3 + w * -3) + -1(7w + -8) = -11w (18 + -3w) + -1(7w + -8) = -11w Reorder the terms: 18 + -3w + -1(-8 + 7w) = -11w 18 + -3w + (-8 * -1 + 7w * -1) = -11w 18 + -3w + (8 + -7w) = -11w Reorder the terms: 18 + 8 + -3w + -7w = -11w Combine like terms: 18 + 8 = 26 26 + -3w + -7w = -11w Combine like terms: -3w + -7w = -10w 26 + -10w = -11w Solving 26 + -10w = -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. 26 + -10w + 11w = -11w + 11w Combine like terms: -10w + 11w = 1w 26 + 1w = -11w + 11w Combine like terms: -11w + 11w = 0 26 + 1w = 0 Add '-26' to each side of the equation. 26 + -26 + 1w = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 1w = 0 + -26 1w = 0 + -26 Combine like terms: 0 + -26 = -26 1w = -26 Divide each side by '1'. w = -26 Simplifying w = -26
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