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Simplifying -25 + 7w = 2(w + 5) Reorder the terms: -25 + 7w = 2(5 + w) -25 + 7w = (5 * 2 + w * 2) -25 + 7w = (10 + 2w) Solving -25 + 7w = 10 + 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. -25 + 7w + -2w = 10 + 2w + -2w Combine like terms: 7w + -2w = 5w -25 + 5w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 -25 + 5w = 10 + 0 -25 + 5w = 10 Add '25' to each side of the equation. -25 + 25 + 5w = 10 + 25 Combine like terms: -25 + 25 = 0 0 + 5w = 10 + 25 5w = 10 + 25 Combine like terms: 10 + 25 = 35 5w = 35 Divide each side by '5'. w = 7 Simplifying w = 7
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