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Simplifying 3(w + -1) + -1 = -2(-9w + 6) + -5w Reorder the terms: 3(-1 + w) + -1 = -2(-9w + 6) + -5w (-1 * 3 + w * 3) + -1 = -2(-9w + 6) + -5w (-3 + 3w) + -1 = -2(-9w + 6) + -5w Reorder the terms: -3 + -1 + 3w = -2(-9w + 6) + -5w Combine like terms: -3 + -1 = -4 -4 + 3w = -2(-9w + 6) + -5w Reorder the terms: -4 + 3w = -2(6 + -9w) + -5w -4 + 3w = (6 * -2 + -9w * -2) + -5w -4 + 3w = (-12 + 18w) + -5w Combine like terms: 18w + -5w = 13w -4 + 3w = -12 + 13w Solving -4 + 3w = -12 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -4 + 3w + -13w = -12 + 13w + -13w Combine like terms: 3w + -13w = -10w -4 + -10w = -12 + 13w + -13w Combine like terms: 13w + -13w = 0 -4 + -10w = -12 + 0 -4 + -10w = -12 Add '4' to each side of the equation. -4 + 4 + -10w = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -10w = -12 + 4 -10w = -12 + 4 Combine like terms: -12 + 4 = -8 -10w = -8 Divide each side by '-10'. w = 0.8 Simplifying w = 0.8
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