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Simplifying 5 = 5(w + 5) + -7w Reorder the terms: 5 = 5(5 + w) + -7w 5 = (5 * 5 + w * 5) + -7w 5 = (25 + 5w) + -7w Combine like terms: 5w + -7w = -2w 5 = 25 + -2w Solving 5 = 25 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 5 + 2w = 25 + -2w + 2w Combine like terms: -2w + 2w = 0 5 + 2w = 25 + 0 5 + 2w = 25 Add '-5' to each side of the equation. 5 + -5 + 2w = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = 25 + -5 2w = 25 + -5 Combine like terms: 25 + -5 = 20 2w = 20 Divide each side by '2'. w = 10 Simplifying w = 10
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