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Simplifying 12.4 = 3w + 8 + -0.5w Reorder the terms: 12.4 = 8 + 3w + -0.5w Combine like terms: 3w + -0.5w = 2.5w 12.4 = 8 + 2.5w Solving 12.4 = 8 + 2.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.5w' to each side of the equation. 12.4 + -2.5w = 8 + 2.5w + -2.5w Combine like terms: 2.5w + -2.5w = 0.0 12.4 + -2.5w = 8 + 0.0 12.4 + -2.5w = 8 Add '-12.4' to each side of the equation. 12.4 + -12.4 + -2.5w = 8 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + -2.5w = 8 + -12.4 -2.5w = 8 + -12.4 Combine like terms: 8 + -12.4 = -4.4 -2.5w = -4.4 Divide each side by '-2.5'. w = 1.76 Simplifying w = 1.76
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