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Simplifying 7w + -3 + 2(2w + 6) = -7(w + 1) Reorder the terms: 7w + -3 + 2(6 + 2w) = -7(w + 1) 7w + -3 + (6 * 2 + 2w * 2) = -7(w + 1) 7w + -3 + (12 + 4w) = -7(w + 1) Reorder the terms: -3 + 12 + 7w + 4w = -7(w + 1) Combine like terms: -3 + 12 = 9 9 + 7w + 4w = -7(w + 1) Combine like terms: 7w + 4w = 11w 9 + 11w = -7(w + 1) Reorder the terms: 9 + 11w = -7(1 + w) 9 + 11w = (1 * -7 + w * -7) 9 + 11w = (-7 + -7w) Solving 9 + 11w = -7 + -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. 9 + 11w + 7w = -7 + -7w + 7w Combine like terms: 11w + 7w = 18w 9 + 18w = -7 + -7w + 7w Combine like terms: -7w + 7w = 0 9 + 18w = -7 + 0 9 + 18w = -7 Add '-9' to each side of the equation. 9 + -9 + 18w = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 18w = -7 + -9 18w = -7 + -9 Combine like terms: -7 + -9 = -16 18w = -16 Divide each side by '18'. w = -0.8888888889 Simplifying w = -0.8888888889
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