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Simplifying 2w + 9 = 5w + -12 Reorder the terms: 9 + 2w = 5w + -12 Reorder the terms: 9 + 2w = -12 + 5w Solving 9 + 2w = -12 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 9 + 2w + -5w = -12 + 5w + -5w Combine like terms: 2w + -5w = -3w 9 + -3w = -12 + 5w + -5w Combine like terms: 5w + -5w = 0 9 + -3w = -12 + 0 9 + -3w = -12 Add '-9' to each side of the equation. 9 + -9 + -3w = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -3w = -12 + -9 -3w = -12 + -9 Combine like terms: -12 + -9 = -21 -3w = -21 Divide each side by '-3'. w = 7 Simplifying w = 7
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