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Simplifying -2(w + -7) + 10w = 31 Reorder the terms: -2(-7 + w) + 10w = 31 (-7 * -2 + w * -2) + 10w = 31 (14 + -2w) + 10w = 31 Combine like terms: -2w + 10w = 8w 14 + 8w = 31 Solving 14 + 8w = 31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8w = 31 + -14 Combine like terms: 14 + -14 = 0 0 + 8w = 31 + -14 8w = 31 + -14 Combine like terms: 31 + -14 = 17 8w = 17 Divide each side by '8'. w = 2.125 Simplifying w = 2.125
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