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Simplifying w + 5 = -7w + 138 Reorder the terms: 5 + w = -7w + 138 Reorder the terms: 5 + w = 138 + -7w Solving 5 + w = 138 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 5 + w + 7w = 138 + -7w + 7w Combine like terms: w + 7w = 8w 5 + 8w = 138 + -7w + 7w Combine like terms: -7w + 7w = 0 5 + 8w = 138 + 0 5 + 8w = 138 Add '-5' to each side of the equation. 5 + -5 + 8w = 138 + -5 Combine like terms: 5 + -5 = 0 0 + 8w = 138 + -5 8w = 138 + -5 Combine like terms: 138 + -5 = 133 8w = 133 Divide each side by '8'. w = 16.625 Simplifying w = 16.625
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