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Simplifying 3(w + 7) + -8w = 31 Reorder the terms: 3(7 + w) + -8w = 31 (7 * 3 + w * 3) + -8w = 31 (21 + 3w) + -8w = 31 Combine like terms: 3w + -8w = -5w 21 + -5w = 31 Solving 21 + -5w = 31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -5w = 31 + -21 Combine like terms: 21 + -21 = 0 0 + -5w = 31 + -21 -5w = 31 + -21 Combine like terms: 31 + -21 = 10 -5w = 10 Divide each side by '-5'. w = -2 Simplifying w = -2
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