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Simplifying -2(-6w + 9) + -1w = 5(w + -6) + -4 Reorder the terms: -2(9 + -6w) + -1w = 5(w + -6) + -4 (9 * -2 + -6w * -2) + -1w = 5(w + -6) + -4 (-18 + 12w) + -1w = 5(w + -6) + -4 Combine like terms: 12w + -1w = 11w -18 + 11w = 5(w + -6) + -4 Reorder the terms: -18 + 11w = 5(-6 + w) + -4 -18 + 11w = (-6 * 5 + w * 5) + -4 -18 + 11w = (-30 + 5w) + -4 Reorder the terms: -18 + 11w = -30 + -4 + 5w Combine like terms: -30 + -4 = -34 -18 + 11w = -34 + 5w Solving -18 + 11w = -34 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -18 + 11w + -5w = -34 + 5w + -5w Combine like terms: 11w + -5w = 6w -18 + 6w = -34 + 5w + -5w Combine like terms: 5w + -5w = 0 -18 + 6w = -34 + 0 -18 + 6w = -34 Add '18' to each side of the equation. -18 + 18 + 6w = -34 + 18 Combine like terms: -18 + 18 = 0 0 + 6w = -34 + 18 6w = -34 + 18 Combine like terms: -34 + 18 = -16 6w = -16 Divide each side by '6'. w = -2.666666667 Simplifying w = -2.666666667
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