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Simplifying -31 = 4 + 5w Solving -31 = 4 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -31 + -5w = 4 + 5w + -5w Combine like terms: 5w + -5w = 0 -31 + -5w = 4 + 0 -31 + -5w = 4 Add '31' to each side of the equation. -31 + 31 + -5w = 4 + 31 Combine like terms: -31 + 31 = 0 0 + -5w = 4 + 31 -5w = 4 + 31 Combine like terms: 4 + 31 = 35 -5w = 35 Divide each side by '-5'. w = -7 Simplifying w = -7
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