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Simplifying -31 = 9 + -4w Solving -31 = 9 + -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 = 9 + -4w + 4w Combine like terms: -4w + 4w = 0 -31 + 4w = 9 + 0 -31 + 4w = 9 Add '31' to each side of the equation. -31 + 31 + 4w = 9 + 31 Combine like terms: -31 + 31 = 0 0 + 4w = 9 + 31 4w = 9 + 31 Combine like terms: 9 + 31 = 40 4w = 40 Divide each side by '4'. w = 10 Simplifying w = 10
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