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Simplifying 31 = 3(w + 5) + -7w Reorder the terms: 31 = 3(5 + w) + -7w 31 = (5 * 3 + w * 3) + -7w 31 = (15 + 3w) + -7w Combine like terms: 3w + -7w = -4w 31 = 15 + -4w Solving 31 = 15 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 31 + 4w = 15 + -4w + 4w Combine like terms: -4w + 4w = 0 31 + 4w = 15 + 0 31 + 4w = 15 Add '-31' to each side of the equation. 31 + -31 + 4w = 15 + -31 Combine like terms: 31 + -31 = 0 0 + 4w = 15 + -31 4w = 15 + -31 Combine like terms: 15 + -31 = -16 4w = -16 Divide each side by '4'. w = -4 Simplifying w = -4
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