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Simplifying -7(-2w + 2) + -1w = 3(w + -9) + -3 Reorder the terms: -7(2 + -2w) + -1w = 3(w + -9) + -3 (2 * -7 + -2w * -7) + -1w = 3(w + -9) + -3 (-14 + 14w) + -1w = 3(w + -9) + -3 Combine like terms: 14w + -1w = 13w -14 + 13w = 3(w + -9) + -3 Reorder the terms: -14 + 13w = 3(-9 + w) + -3 -14 + 13w = (-9 * 3 + w * 3) + -3 -14 + 13w = (-27 + 3w) + -3 Reorder the terms: -14 + 13w = -27 + -3 + 3w Combine like terms: -27 + -3 = -30 -14 + 13w = -30 + 3w Solving -14 + 13w = -30 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -14 + 13w + -3w = -30 + 3w + -3w Combine like terms: 13w + -3w = 10w -14 + 10w = -30 + 3w + -3w Combine like terms: 3w + -3w = 0 -14 + 10w = -30 + 0 -14 + 10w = -30 Add '14' to each side of the equation. -14 + 14 + 10w = -30 + 14 Combine like terms: -14 + 14 = 0 0 + 10w = -30 + 14 10w = -30 + 14 Combine like terms: -30 + 14 = -16 10w = -16 Divide each side by '10'. w = -1.6 Simplifying w = -1.6
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