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Simplifying 8(w + -3) + 3w = 31 Reorder the terms: 8(-3 + w) + 3w = 31 (-3 * 8 + w * 8) + 3w = 31 (-24 + 8w) + 3w = 31 Combine like terms: 8w + 3w = 11w -24 + 11w = 31 Solving -24 + 11w = 31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 11w = 31 + 24 Combine like terms: -24 + 24 = 0 0 + 11w = 31 + 24 11w = 31 + 24 Combine like terms: 31 + 24 = 55 11w = 55 Divide each side by '11'. w = 5 Simplifying w = 5
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