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Simplifying 4w + 17 = -9(w + 1) Reorder the terms: 17 + 4w = -9(w + 1) Reorder the terms: 17 + 4w = -9(1 + w) 17 + 4w = (1 * -9 + w * -9) 17 + 4w = (-9 + -9w) Solving 17 + 4w = -9 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 17 + 4w + 9w = -9 + -9w + 9w Combine like terms: 4w + 9w = 13w 17 + 13w = -9 + -9w + 9w Combine like terms: -9w + 9w = 0 17 + 13w = -9 + 0 17 + 13w = -9 Add '-17' to each side of the equation. 17 + -17 + 13w = -9 + -17 Combine like terms: 17 + -17 = 0 0 + 13w = -9 + -17 13w = -9 + -17 Combine like terms: -9 + -17 = -26 13w = -26 Divide each side by '13'. w = -2 Simplifying w = -2
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