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Simplifying 0.5w + 9 = 0.8w + -9 Reorder the terms: 9 + 0.5w = 0.8w + -9 Reorder the terms: 9 + 0.5w = -9 + 0.8w Solving 9 + 0.5w = -9 + 0.8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.8w' to each side of the equation. 9 + 0.5w + -0.8w = -9 + 0.8w + -0.8w Combine like terms: 0.5w + -0.8w = -0.3w 9 + -0.3w = -9 + 0.8w + -0.8w Combine like terms: 0.8w + -0.8w = 0.0 9 + -0.3w = -9 + 0.0 9 + -0.3w = -9 Add '-9' to each side of the equation. 9 + -9 + -0.3w = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -0.3w = -9 + -9 -0.3w = -9 + -9 Combine like terms: -9 + -9 = -18 -0.3w = -18 Divide each side by '-0.3'. w = 60 Simplifying w = 60
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