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Simplifying -9w + 9 = 3w + -15 Reorder the terms: 9 + -9w = 3w + -15 Reorder the terms: 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 = -12w 9 + -12w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 9 + -12w = -15 + 0 9 + -12w = -15 Add '-9' to each side of the equation. 9 + -9 + -12w = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -12w = -15 + -9 -12w = -15 + -9 Combine like terms: -15 + -9 = -24 -12w = -24 Divide each side by '-12'. w = 2 Simplifying w = 2
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