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Simplifying -9w + 9 = -3(w + -5) Reorder the terms: 9 + -9w = -3(w + -5) Reorder the terms: 9 + -9w = -3(-5 + w) 9 + -9w = (-5 * -3 + w * -3) 9 + -9w = (15 + -3w) Solving 9 + -9w = 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. 9 + -9w + 3w = 15 + -3w + 3w Combine like terms: -9w + 3w = -6w 9 + -6w = 15 + -3w + 3w Combine like terms: -3w + 3w = 0 9 + -6w = 15 + 0 9 + -6w = 15 Add '-9' to each side of the equation. 9 + -9 + -6w = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -6w = 15 + -9 -6w = 15 + -9 Combine like terms: 15 + -9 = 6 -6w = 6 Divide each side by '-6'. w = -1 Simplifying w = -1
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