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Simplifying 12.4 = 3w + 8 + -0.5 Reorder the terms: 12.4 = 8 + -0.5 + 3w Combine like terms: 8 + -0.5 = 7.5 12.4 = 7.5 + 3w Solving 12.4 = 7.5 + 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. 12.4 + -3w = 7.5 + 3w + -3w Combine like terms: 3w + -3w = 0 12.4 + -3w = 7.5 + 0 12.4 + -3w = 7.5 Add '-12.4' to each side of the equation. 12.4 + -12.4 + -3w = 7.5 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + -3w = 7.5 + -12.4 -3w = 7.5 + -12.4 Combine like terms: 7.5 + -12.4 = -4.9 -3w = -4.9 Divide each side by '-3'. w = 1.633333333 Simplifying w = 1.633333333
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