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Simplifying 3(w + -1) + -9 = -7(-2w + 2) + -1w Reorder the terms: 3(-1 + w) + -9 = -7(-2w + 2) + -1w (-1 * 3 + w * 3) + -9 = -7(-2w + 2) + -1w (-3 + 3w) + -9 = -7(-2w + 2) + -1w Reorder the terms: -3 + -9 + 3w = -7(-2w + 2) + -1w Combine like terms: -3 + -9 = -12 -12 + 3w = -7(-2w + 2) + -1w Reorder the terms: -12 + 3w = -7(2 + -2w) + -1w -12 + 3w = (2 * -7 + -2w * -7) + -1w -12 + 3w = (-14 + 14w) + -1w Combine like terms: 14w + -1w = 13w -12 + 3w = -14 + 13w Solving -12 + 3w = -14 + 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 = -14 + 13w + -13w Combine like terms: 3w + -13w = -10w -12 + -10w = -14 + 13w + -13w Combine like terms: 13w + -13w = 0 -12 + -10w = -14 + 0 -12 + -10w = -14 Add '12' to each side of the equation. -12 + 12 + -10w = -14 + 12 Combine like terms: -12 + 12 = 0 0 + -10w = -14 + 12 -10w = -14 + 12 Combine like terms: -14 + 12 = -2 -10w = -2 Divide each side by '-10'. w = 0.2 Simplifying w = 0.2
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