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Simplifying 2(50 + 10w) = 25 + 5w (50 * 2 + 10w * 2) = 25 + 5w (100 + 20w) = 25 + 5w Solving 100 + 20w = 25 + 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. 100 + 20w + -5w = 25 + 5w + -5w Combine like terms: 20w + -5w = 15w 100 + 15w = 25 + 5w + -5w Combine like terms: 5w + -5w = 0 100 + 15w = 25 + 0 100 + 15w = 25 Add '-100' to each side of the equation. 100 + -100 + 15w = 25 + -100 Combine like terms: 100 + -100 = 0 0 + 15w = 25 + -100 15w = 25 + -100 Combine like terms: 25 + -100 = -75 15w = -75 Divide each side by '15'. w = -5 Simplifying w = -5
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