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Simplifying 5(w + 7) + -7w = 25 Reorder the terms: 5(7 + w) + -7w = 25 (7 * 5 + w * 5) + -7w = 25 (35 + 5w) + -7w = 25 Combine like terms: 5w + -7w = -2w 35 + -2w = 25 Solving 35 + -2w = 25 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -2w = 25 + -35 Combine like terms: 35 + -35 = 0 0 + -2w = 25 + -35 -2w = 25 + -35 Combine like terms: 25 + -35 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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