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Simplifying 31 = 5(w + 4) + 6w Reorder the terms: 31 = 5(4 + w) + 6w 31 = (4 * 5 + w * 5) + 6w 31 = (20 + 5w) + 6w Combine like terms: 5w + 6w = 11w 31 = 20 + 11w Solving 31 = 20 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. 31 + -11w = 20 + 11w + -11w Combine like terms: 11w + -11w = 0 31 + -11w = 20 + 0 31 + -11w = 20 Add '-31' to each side of the equation. 31 + -31 + -11w = 20 + -31 Combine like terms: 31 + -31 = 0 0 + -11w = 20 + -31 -11w = 20 + -31 Combine like terms: 20 + -31 = -11 -11w = -11 Divide each side by '-11'. w = 1 Simplifying w = 1
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