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Simplifying 7(w + 7) = -5(3w + -9) + 4w Reorder the terms: 7(7 + w) = -5(3w + -9) + 4w (7 * 7 + w * 7) = -5(3w + -9) + 4w (49 + 7w) = -5(3w + -9) + 4w Reorder the terms: 49 + 7w = -5(-9 + 3w) + 4w 49 + 7w = (-9 * -5 + 3w * -5) + 4w 49 + 7w = (45 + -15w) + 4w Combine like terms: -15w + 4w = -11w 49 + 7w = 45 + -11w Solving 49 + 7w = 45 + -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. 49 + 7w + 11w = 45 + -11w + 11w Combine like terms: 7w + 11w = 18w 49 + 18w = 45 + -11w + 11w Combine like terms: -11w + 11w = 0 49 + 18w = 45 + 0 49 + 18w = 45 Add '-49' to each side of the equation. 49 + -49 + 18w = 45 + -49 Combine like terms: 49 + -49 = 0 0 + 18w = 45 + -49 18w = 45 + -49 Combine like terms: 45 + -49 = -4 18w = -4 Divide each side by '18'. w = -0.2222222222 Simplifying w = -0.2222222222
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