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Simplifying 5w + 3(w + -3) = 31 Reorder the terms: 5w + 3(-3 + w) = 31 5w + (-3 * 3 + w * 3) = 31 5w + (-9 + 3w) = 31 Reorder the terms: -9 + 5w + 3w = 31 Combine like terms: 5w + 3w = 8w -9 + 8w = 31 Solving -9 + 8w = 31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 8w = 31 + 9 Combine like terms: -9 + 9 = 0 0 + 8w = 31 + 9 8w = 31 + 9 Combine like terms: 31 + 9 = 40 8w = 40 Divide each side by '8'. w = 5 Simplifying w = 5
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