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Simplifying 31 = 3w + -14 Reorder the terms: 31 = -14 + 3w Solving 31 = -14 + 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 = -14 + 3w + -3w Combine like terms: 3w + -3w = 0 31 + -3w = -14 + 0 31 + -3w = -14 Add '-31' to each side of the equation. 31 + -31 + -3w = -14 + -31 Combine like terms: 31 + -31 = 0 0 + -3w = -14 + -31 -3w = -14 + -31 Combine like terms: -14 + -31 = -45 -3w = -45 Divide each side by '-3'. w = 15 Simplifying w = 15
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