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Simplifying 8w + 40 = 100 + 3w Reorder the terms: 40 + 8w = 100 + 3w Solving 40 + 8w = 100 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 40 + 8w + -3w = 100 + 3w + -3w Combine like terms: 8w + -3w = 5w 40 + 5w = 100 + 3w + -3w Combine like terms: 3w + -3w = 0 40 + 5w = 100 + 0 40 + 5w = 100 Add '-40' to each side of the equation. 40 + -40 + 5w = 100 + -40 Combine like terms: 40 + -40 = 0 0 + 5w = 100 + -40 5w = 100 + -40 Combine like terms: 100 + -40 = 60 5w = 60 Divide each side by '5'. w = 12 Simplifying w = 12
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