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Simplifying 31 = 50 + -5(5 + -1w) 31 = 50 + (5 * -5 + -1w * -5) 31 = 50 + (-25 + 5w) Combine like terms: 50 + -25 = 25 31 = 25 + 5w Solving 31 = 25 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 31 + -5w = 25 + 5w + -5w Combine like terms: 5w + -5w = 0 31 + -5w = 25 + 0 31 + -5w = 25 Add '-31' to each side of the equation. 31 + -31 + -5w = 25 + -31 Combine like terms: 31 + -31 = 0 0 + -5w = 25 + -31 -5w = 25 + -31 Combine like terms: 25 + -31 = -6 -5w = -6 Divide each side by '-5'. w = 1.2 Simplifying w = 1.2
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