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Simplifying w + 137 = -2w + 8 Reorder the terms: 137 + w = -2w + 8 Reorder the terms: 137 + w = 8 + -2w Solving 137 + w = 8 + -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. 137 + w + 2w = 8 + -2w + 2w Combine like terms: w + 2w = 3w 137 + 3w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 137 + 3w = 8 + 0 137 + 3w = 8 Add '-137' to each side of the equation. 137 + -137 + 3w = 8 + -137 Combine like terms: 137 + -137 = 0 0 + 3w = 8 + -137 3w = 8 + -137 Combine like terms: 8 + -137 = -129 3w = -129 Divide each side by '3'. w = -43 Simplifying w = -43
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