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Simplifying 20 = 2(w + 5) + -7w Reorder the terms: 20 = 2(5 + w) + -7w 20 = (5 * 2 + w * 2) + -7w 20 = (10 + 2w) + -7w Combine like terms: 2w + -7w = -5w 20 = 10 + -5w Solving 20 = 10 + -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. 20 + 5w = 10 + -5w + 5w Combine like terms: -5w + 5w = 0 20 + 5w = 10 + 0 20 + 5w = 10 Add '-20' to each side of the equation. 20 + -20 + 5w = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 5w = 10 + -20 5w = 10 + -20 Combine like terms: 10 + -20 = -10 5w = -10 Divide each side by '5'. w = -2 Simplifying w = -2
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