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Simplifying -4w + 16 = -9(w + 1) Reorder the terms: 16 + -4w = -9(w + 1) Reorder the terms: 16 + -4w = -9(1 + w) 16 + -4w = (1 * -9 + w * -9) 16 + -4w = (-9 + -9w) Solving 16 + -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. 16 + -4w + 9w = -9 + -9w + 9w Combine like terms: -4w + 9w = 5w 16 + 5w = -9 + -9w + 9w Combine like terms: -9w + 9w = 0 16 + 5w = -9 + 0 16 + 5w = -9 Add '-16' to each side of the equation. 16 + -16 + 5w = -9 + -16 Combine like terms: 16 + -16 = 0 0 + 5w = -9 + -16 5w = -9 + -16 Combine like terms: -9 + -16 = -25 5w = -25 Divide each side by '5'. w = -5 Simplifying w = -5
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