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Simplifying 31 = 3w + -8 Reorder the terms: 31 = -8 + 3w Solving 31 = -8 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 31 + -3w = -8 + 3w + -3w Combine like terms: 3w + -3w = 0 31 + -3w = -8 + 0 31 + -3w = -8 Add '-31' to each side of the equation. 31 + -31 + -3w = -8 + -31 Combine like terms: 31 + -31 = 0 0 + -3w = -8 + -31 -3w = -8 + -31 Combine like terms: -8 + -31 = -39 -3w = -39 Divide each side by '-3'. w = 13 Simplifying w = 13
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