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Simplifying 5w + -6(w + -6) = 8(w + -6) Reorder the terms: 5w + -6(-6 + w) = 8(w + -6) 5w + (-6 * -6 + w * -6) = 8(w + -6) 5w + (36 + -6w) = 8(w + -6) Reorder the terms: 36 + 5w + -6w = 8(w + -6) Combine like terms: 5w + -6w = -1w 36 + -1w = 8(w + -6) Reorder the terms: 36 + -1w = 8(-6 + w) 36 + -1w = (-6 * 8 + w * 8) 36 + -1w = (-48 + 8w) Solving 36 + -1w = -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. 36 + -1w + -8w = -48 + 8w + -8w Combine like terms: -1w + -8w = -9w 36 + -9w = -48 + 8w + -8w Combine like terms: 8w + -8w = 0 36 + -9w = -48 + 0 36 + -9w = -48 Add '-36' to each side of the equation. 36 + -36 + -9w = -48 + -36 Combine like terms: 36 + -36 = 0 0 + -9w = -48 + -36 -9w = -48 + -36 Combine like terms: -48 + -36 = -84 -9w = -84 Divide each side by '-9'. w = 9.333333333 Simplifying w = 9.333333333
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