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Simplifying 5w + 9 + -2w = -12 Reorder the terms: 9 + 5w + -2w = -12 Combine like terms: 5w + -2w = 3w 9 + 3w = -12 Solving 9 + 3w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. 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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