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Simplifying 31 = 4w + -17 Reorder the terms: 31 = -17 + 4w Solving 31 = -17 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 31 + -4w = -17 + 4w + -4w Combine like terms: 4w + -4w = 0 31 + -4w = -17 + 0 31 + -4w = -17 Add '-31' to each side of the equation. 31 + -31 + -4w = -17 + -31 Combine like terms: 31 + -31 = 0 0 + -4w = -17 + -31 -4w = -17 + -31 Combine like terms: -17 + -31 = -48 -4w = -48 Divide each side by '-4'. w = 12 Simplifying w = 12
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