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Simplifying 2(w + 4) = -5w + -20 Reorder the terms: 2(4 + w) = -5w + -20 (4 * 2 + w * 2) = -5w + -20 (8 + 2w) = -5w + -20 Reorder the terms: 8 + 2w = -20 + -5w Solving 8 + 2w = -20 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 8 + 2w + 5w = -20 + -5w + 5w Combine like terms: 2w + 5w = 7w 8 + 7w = -20 + -5w + 5w Combine like terms: -5w + 5w = 0 8 + 7w = -20 + 0 8 + 7w = -20 Add '-8' to each side of the equation. 8 + -8 + 7w = -20 + -8 Combine like terms: 8 + -8 = 0 0 + 7w = -20 + -8 7w = -20 + -8 Combine like terms: -20 + -8 = -28 7w = -28 Divide each side by '7'. w = -4 Simplifying w = -4
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