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Simplifying -2(-9w + 5) + -1w = 3(w + -2) + -8 Reorder the terms: -2(5 + -9w) + -1w = 3(w + -2) + -8 (5 * -2 + -9w * -2) + -1w = 3(w + -2) + -8 (-10 + 18w) + -1w = 3(w + -2) + -8 Combine like terms: 18w + -1w = 17w -10 + 17w = 3(w + -2) + -8 Reorder the terms: -10 + 17w = 3(-2 + w) + -8 -10 + 17w = (-2 * 3 + w * 3) + -8 -10 + 17w = (-6 + 3w) + -8 Reorder the terms: -10 + 17w = -6 + -8 + 3w Combine like terms: -6 + -8 = -14 -10 + 17w = -14 + 3w Solving -10 + 17w = -14 + 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. -10 + 17w + -3w = -14 + 3w + -3w Combine like terms: 17w + -3w = 14w -10 + 14w = -14 + 3w + -3w Combine like terms: 3w + -3w = 0 -10 + 14w = -14 + 0 -10 + 14w = -14 Add '10' to each side of the equation. -10 + 10 + 14w = -14 + 10 Combine like terms: -10 + 10 = 0 0 + 14w = -14 + 10 14w = -14 + 10 Combine like terms: -14 + 10 = -4 14w = -4 Divide each side by '14'. w = -0.2857142857 Simplifying w = -0.2857142857
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