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Simplifying 31 = -5w + 8(y + 5) Reorder the terms: 31 = -5w + 8(5 + y) 31 = -5w + (5 * 8 + y * 8) 31 = -5w + (40 + 8y) Reorder the terms: 31 = 40 + -5w + 8y Solving 31 = 40 + -5w + 8y 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 = 40 + -5w + 5w + 8y Combine like terms: -5w + 5w = 0 31 + 5w = 40 + 0 + 8y 31 + 5w = 40 + 8y Add '-31' to each side of the equation. 31 + -31 + 5w = 40 + -31 + 8y Combine like terms: 31 + -31 = 0 0 + 5w = 40 + -31 + 8y 5w = 40 + -31 + 8y Combine like terms: 40 + -31 = 9 5w = 9 + 8y Divide each side by '5'. w = 1.8 + 1.6y Simplifying w = 1.8 + 1.6y
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