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Simplifying 20w + 200 = 5w + 300 Reorder the terms: 200 + 20w = 5w + 300 Reorder the terms: 200 + 20w = 300 + 5w Solving 200 + 20w = 300 + 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. 200 + 20w + -5w = 300 + 5w + -5w Combine like terms: 20w + -5w = 15w 200 + 15w = 300 + 5w + -5w Combine like terms: 5w + -5w = 0 200 + 15w = 300 + 0 200 + 15w = 300 Add '-200' to each side of the equation. 200 + -200 + 15w = 300 + -200 Combine like terms: 200 + -200 = 0 0 + 15w = 300 + -200 15w = 300 + -200 Combine like terms: 300 + -200 = 100 15w = 100 Divide each side by '15'. w = 6.666666667 Simplifying w = 6.666666667
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