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Simplifying 35.4 = 12.8w + 22.6 Reorder the terms: 35.4 = 22.6 + 12.8w Solving 35.4 = 22.6 + 12.8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12.8w' to each side of the equation. 35.4 + -12.8w = 22.6 + 12.8w + -12.8w Combine like terms: 12.8w + -12.8w = 0.0 35.4 + -12.8w = 22.6 + 0.0 35.4 + -12.8w = 22.6 Add '-35.4' to each side of the equation. 35.4 + -35.4 + -12.8w = 22.6 + -35.4 Combine like terms: 35.4 + -35.4 = 0.0 0.0 + -12.8w = 22.6 + -35.4 -12.8w = 22.6 + -35.4 Combine like terms: 22.6 + -35.4 = -12.8 -12.8w = -12.8 Divide each side by '-12.8'. w = 1 Simplifying w = 1
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