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Simplifying -4(-5w + 7) + -9w = 7(w + -1) + -3 Reorder the terms: -4(7 + -5w) + -9w = 7(w + -1) + -3 (7 * -4 + -5w * -4) + -9w = 7(w + -1) + -3 (-28 + 20w) + -9w = 7(w + -1) + -3 Combine like terms: 20w + -9w = 11w -28 + 11w = 7(w + -1) + -3 Reorder the terms: -28 + 11w = 7(-1 + w) + -3 -28 + 11w = (-1 * 7 + w * 7) + -3 -28 + 11w = (-7 + 7w) + -3 Reorder the terms: -28 + 11w = -7 + -3 + 7w Combine like terms: -7 + -3 = -10 -28 + 11w = -10 + 7w Solving -28 + 11w = -10 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -28 + 11w + -7w = -10 + 7w + -7w Combine like terms: 11w + -7w = 4w -28 + 4w = -10 + 7w + -7w Combine like terms: 7w + -7w = 0 -28 + 4w = -10 + 0 -28 + 4w = -10 Add '28' to each side of the equation. -28 + 28 + 4w = -10 + 28 Combine like terms: -28 + 28 = 0 0 + 4w = -10 + 28 4w = -10 + 28 Combine like terms: -10 + 28 = 18 4w = 18 Divide each side by '4'. w = 4.5 Simplifying w = 4.5
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