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Simplifying 9w + 10 = -4(w + -9) Reorder the terms: 10 + 9w = -4(w + -9) Reorder the terms: 10 + 9w = -4(-9 + w) 10 + 9w = (-9 * -4 + w * -4) 10 + 9w = (36 + -4w) Solving 10 + 9w = 36 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 10 + 9w + 4w = 36 + -4w + 4w Combine like terms: 9w + 4w = 13w 10 + 13w = 36 + -4w + 4w Combine like terms: -4w + 4w = 0 10 + 13w = 36 + 0 10 + 13w = 36 Add '-10' to each side of the equation. 10 + -10 + 13w = 36 + -10 Combine like terms: 10 + -10 = 0 0 + 13w = 36 + -10 13w = 36 + -10 Combine like terms: 36 + -10 = 26 13w = 26 Divide each side by '13'. w = 2 Simplifying w = 2
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