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