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Simplifying w + -9 + 5(2w + 2) = -3(w + 5) Reorder the terms: w + -9 + 5(2 + 2w) = -3(w + 5) w + -9 + (2 * 5 + 2w * 5) = -3(w + 5) w + -9 + (10 + 10w) = -3(w + 5) Reorder the terms: -9 + 10 + w + 10w = -3(w + 5) Combine like terms: -9 + 10 = 1 1 + w + 10w = -3(w + 5) Combine like terms: w + 10w = 11w 1 + 11w = -3(w + 5) Reorder the terms: 1 + 11w = -3(5 + w) 1 + 11w = (5 * -3 + w * -3) 1 + 11w = (-15 + -3w) Solving 1 + 11w = -15 + -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. 1 + 11w + 3w = -15 + -3w + 3w Combine like terms: 11w + 3w = 14w 1 + 14w = -15 + -3w + 3w Combine like terms: -3w + 3w = 0 1 + 14w = -15 + 0 1 + 14w = -15 Add '-1' to each side of the equation. 1 + -1 + 14w = -15 + -1 Combine like terms: 1 + -1 = 0 0 + 14w = -15 + -1 14w = -15 + -1 Combine like terms: -15 + -1 = -16 14w = -16 Divide each side by '14'. w = -1.142857143 Simplifying w = -1.142857143
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