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Simplifying -6(w + -3) + 5(w + 2) = 31 Reorder the terms: -6(-3 + w) + 5(w + 2) = 31 (-3 * -6 + w * -6) + 5(w + 2) = 31 (18 + -6w) + 5(w + 2) = 31 Reorder the terms: 18 + -6w + 5(2 + w) = 31 18 + -6w + (2 * 5 + w * 5) = 31 18 + -6w + (10 + 5w) = 31 Reorder the terms: 18 + 10 + -6w + 5w = 31 Combine like terms: 18 + 10 = 28 28 + -6w + 5w = 31 Combine like terms: -6w + 5w = -1w 28 + -1w = 31 Solving 28 + -1w = 31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1w = 31 + -28 Combine like terms: 28 + -28 = 0 0 + -1w = 31 + -28 -1w = 31 + -28 Combine like terms: 31 + -28 = 3 -1w = 3 Divide each side by '-1'. w = -3 Simplifying w = -3
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