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Simplifying 31 = 4 + -3w Solving 31 = 4 + -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 = 4 + -3w + 3w Combine like terms: -3w + 3w = 0 31 + 3w = 4 + 0 31 + 3w = 4 Add '-31' to each side of the equation. 31 + -31 + 3w = 4 + -31 Combine like terms: 31 + -31 = 0 0 + 3w = 4 + -31 3w = 4 + -31 Combine like terms: 4 + -31 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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