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Simplifying -2w + 31 = -7(w + -8) Reorder the terms: 31 + -2w = -7(w + -8) Reorder the terms: 31 + -2w = -7(-8 + w) 31 + -2w = (-8 * -7 + w * -7) 31 + -2w = (56 + -7w) Solving 31 + -2w = 56 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 31 + -2w + 7w = 56 + -7w + 7w Combine like terms: -2w + 7w = 5w 31 + 5w = 56 + -7w + 7w Combine like terms: -7w + 7w = 0 31 + 5w = 56 + 0 31 + 5w = 56 Add '-31' to each side of the equation. 31 + -31 + 5w = 56 + -31 Combine like terms: 31 + -31 = 0 0 + 5w = 56 + -31 5w = 56 + -31 Combine like terms: 56 + -31 = 25 5w = 25 Divide each side by '5'. w = 5 Simplifying w = 5
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