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Simplifying -31 = 5w + -6 Reorder the terms: -31 = -6 + 5w Solving -31 = -6 + 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 = -6 + 5w + -5w Combine like terms: 5w + -5w = 0 -31 + -5w = -6 + 0 -31 + -5w = -6 Add '31' to each side of the equation. -31 + 31 + -5w = -6 + 31 Combine like terms: -31 + 31 = 0 0 + -5w = -6 + 31 -5w = -6 + 31 Combine like terms: -6 + 31 = 25 -5w = 25 Divide each side by '-5'. w = -5 Simplifying w = -5
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