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Simplifying 100 + 3w = 50 + 8w Solving 100 + 3w = 50 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 100 + 3w + -8w = 50 + 8w + -8w Combine like terms: 3w + -8w = -5w 100 + -5w = 50 + 8w + -8w Combine like terms: 8w + -8w = 0 100 + -5w = 50 + 0 100 + -5w = 50 Add '-100' to each side of the equation. 100 + -100 + -5w = 50 + -100 Combine like terms: 100 + -100 = 0 0 + -5w = 50 + -100 -5w = 50 + -100 Combine like terms: 50 + -100 = -50 -5w = -50 Divide each side by '-5'. w = 10 Simplifying w = 10
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