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Simplifying 8w + 12 = 3w + 49.5 Reorder the terms: 12 + 8w = 3w + 49.5 Reorder the terms: 12 + 8w = 49.5 + 3w Solving 12 + 8w = 49.5 + 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. 12 + 8w + -3w = 49.5 + 3w + -3w Combine like terms: 8w + -3w = 5w 12 + 5w = 49.5 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + 5w = 49.5 + 0 12 + 5w = 49.5 Add '-12' to each side of the equation. 12 + -12 + 5w = 49.5 + -12 Combine like terms: 12 + -12 = 0 0 + 5w = 49.5 + -12 5w = 49.5 + -12 Combine like terms: 49.5 + -12 = 37.5 5w = 37.5 Divide each side by '5'. w = 7.5 Simplifying w = 7.5
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