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Simplifying 12.4 = w + 8 + -0.5w Reorder the terms: 12.4 = 8 + w + -0.5w Combine like terms: w + -0.5w = 0.5w 12.4 = 8 + 0.5w Solving 12.4 = 8 + 0.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.5w' to each side of the equation. 12.4 + -0.5w = 8 + 0.5w + -0.5w Combine like terms: 0.5w + -0.5w = 0.0 12.4 + -0.5w = 8 + 0.0 12.4 + -0.5w = 8 Add '-12.4' to each side of the equation. 12.4 + -12.4 + -0.5w = 8 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + -0.5w = 8 + -12.4 -0.5w = 8 + -12.4 Combine like terms: 8 + -12.4 = -4.4 -0.5w = -4.4 Divide each side by '-0.5'. w = 8.8 Simplifying w = 8.8
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