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Simplifying 31 = -7w + 3(w + -3) Reorder the terms: 31 = -7w + 3(-3 + w) 31 = -7w + (-3 * 3 + w * 3) 31 = -7w + (-9 + 3w) Reorder the terms: 31 = -9 + -7w + 3w Combine like terms: -7w + 3w = -4w 31 = -9 + -4w Solving 31 = -9 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 31 + 4w = -9 + -4w + 4w Combine like terms: -4w + 4w = 0 31 + 4w = -9 + 0 31 + 4w = -9 Add '-31' to each side of the equation. 31 + -31 + 4w = -9 + -31 Combine like terms: 31 + -31 = 0 0 + 4w = -9 + -31 4w = -9 + -31 Combine like terms: -9 + -31 = -40 4w = -40 Divide each side by '4'. w = -10 Simplifying w = -10
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