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Simplifying 31 = 4w + -13 Reorder the terms: 31 = -13 + 4w Solving 31 = -13 + 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 = -13 + 4w + -4w Combine like terms: 4w + -4w = 0 31 + -4w = -13 + 0 31 + -4w = -13 Add '-31' to each side of the equation. 31 + -31 + -4w = -13 + -31 Combine like terms: 31 + -31 = 0 0 + -4w = -13 + -31 -4w = -13 + -31 Combine like terms: -13 + -31 = -44 -4w = -44 Divide each side by '-4'. w = 11 Simplifying w = 11
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