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Simplifying 2w + -5(w + -6) = 8(w + -6) Reorder the terms: 2w + -5(-6 + w) = 8(w + -6) 2w + (-6 * -5 + w * -5) = 8(w + -6) 2w + (30 + -5w) = 8(w + -6) Reorder the terms: 30 + 2w + -5w = 8(w + -6) Combine like terms: 2w + -5w = -3w 30 + -3w = 8(w + -6) Reorder the terms: 30 + -3w = 8(-6 + w) 30 + -3w = (-6 * 8 + w * 8) 30 + -3w = (-48 + 8w) Solving 30 + -3w = -48 + 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. 30 + -3w + -8w = -48 + 8w + -8w Combine like terms: -3w + -8w = -11w 30 + -11w = -48 + 8w + -8w Combine like terms: 8w + -8w = 0 30 + -11w = -48 + 0 30 + -11w = -48 Add '-30' to each side of the equation. 30 + -30 + -11w = -48 + -30 Combine like terms: 30 + -30 = 0 0 + -11w = -48 + -30 -11w = -48 + -30 Combine like terms: -48 + -30 = -78 -11w = -78 Divide each side by '-11'. w = 7.090909091 Simplifying w = 7.090909091
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