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Simplifying -31 = 7w + 4w + 24 Reorder the terms: -31 = 24 + 7w + 4w Combine like terms: 7w + 4w = 11w -31 = 24 + 11w Solving -31 = 24 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -31 + -11w = 24 + 11w + -11w Combine like terms: 11w + -11w = 0 -31 + -11w = 24 + 0 -31 + -11w = 24 Add '31' to each side of the equation. -31 + 31 + -11w = 24 + 31 Combine like terms: -31 + 31 = 0 0 + -11w = 24 + 31 -11w = 24 + 31 Combine like terms: 24 + 31 = 55 -11w = 55 Divide each side by '-11'. w = -5 Simplifying w = -5
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