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Simplifying w + 138 = -2w + 9 Reorder the terms: 138 + w = -2w + 9 Reorder the terms: 138 + w = 9 + -2w Solving 138 + w = 9 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 138 + w + 2w = 9 + -2w + 2w Combine like terms: w + 2w = 3w 138 + 3w = 9 + -2w + 2w Combine like terms: -2w + 2w = 0 138 + 3w = 9 + 0 138 + 3w = 9 Add '-138' to each side of the equation. 138 + -138 + 3w = 9 + -138 Combine like terms: 138 + -138 = 0 0 + 3w = 9 + -138 3w = 9 + -138 Combine like terms: 9 + -138 = -129 3w = -129 Divide each side by '3'. w = -43 Simplifying w = -43
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