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Simplifying 3w + -9 + 2(4w + 8) = -3(w + 1) Reorder the terms: 3w + -9 + 2(8 + 4w) = -3(w + 1) 3w + -9 + (8 * 2 + 4w * 2) = -3(w + 1) 3w + -9 + (16 + 8w) = -3(w + 1) Reorder the terms: -9 + 16 + 3w + 8w = -3(w + 1) Combine like terms: -9 + 16 = 7 7 + 3w + 8w = -3(w + 1) Combine like terms: 3w + 8w = 11w 7 + 11w = -3(w + 1) Reorder the terms: 7 + 11w = -3(1 + w) 7 + 11w = (1 * -3 + w * -3) 7 + 11w = (-3 + -3w) Solving 7 + 11w = -3 + -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. 7 + 11w + 3w = -3 + -3w + 3w Combine like terms: 11w + 3w = 14w 7 + 14w = -3 + -3w + 3w Combine like terms: -3w + 3w = 0 7 + 14w = -3 + 0 7 + 14w = -3 Add '-7' to each side of the equation. 7 + -7 + 14w = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 14w = -3 + -7 14w = -3 + -7 Combine like terms: -3 + -7 = -10 14w = -10 Divide each side by '14'. w = -0.7142857143 Simplifying w = -0.7142857143
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