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Simplifying 10 + 20w = 40 + 5w Solving 10 + 20w = 40 + 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. 10 + 20w + -5w = 40 + 5w + -5w Combine like terms: 20w + -5w = 15w 10 + 15w = 40 + 5w + -5w Combine like terms: 5w + -5w = 0 10 + 15w = 40 + 0 10 + 15w = 40 Add '-10' to each side of the equation. 10 + -10 + 15w = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 15w = 40 + -10 15w = 40 + -10 Combine like terms: 40 + -10 = 30 15w = 30 Divide each side by '15'. w = 2 Simplifying w = 2
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