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Simplifying 3(w + -1) + -9 = -3(-7w + 2) + -8w Reorder the terms: 3(-1 + w) + -9 = -3(-7w + 2) + -8w (-1 * 3 + w * 3) + -9 = -3(-7w + 2) + -8w (-3 + 3w) + -9 = -3(-7w + 2) + -8w Reorder the terms: -3 + -9 + 3w = -3(-7w + 2) + -8w Combine like terms: -3 + -9 = -12 -12 + 3w = -3(-7w + 2) + -8w Reorder the terms: -12 + 3w = -3(2 + -7w) + -8w -12 + 3w = (2 * -3 + -7w * -3) + -8w -12 + 3w = (-6 + 21w) + -8w Combine like terms: 21w + -8w = 13w -12 + 3w = -6 + 13w Solving -12 + 3w = -6 + 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. -12 + 3w + -13w = -6 + 13w + -13w Combine like terms: 3w + -13w = -10w -12 + -10w = -6 + 13w + -13w Combine like terms: 13w + -13w = 0 -12 + -10w = -6 + 0 -12 + -10w = -6 Add '12' to each side of the equation. -12 + 12 + -10w = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -10w = -6 + 12 -10w = -6 + 12 Combine like terms: -6 + 12 = 6 -10w = 6 Divide each side by '-10'. w = -0.6 Simplifying w = -0.6
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