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Simplifying 13c + 9.25(38 + -1c) = 434 13c + (38 * 9.25 + -1c * 9.25) = 434 13c + (351.5 + -9.25c) = 434 Reorder the terms: 351.5 + 13c + -9.25c = 434 Combine like terms: 13c + -9.25c = 3.75c 351.5 + 3.75c = 434 Solving 351.5 + 3.75c = 434 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-351.5' to each side of the equation. 351.5 + -351.5 + 3.75c = 434 + -351.5 Combine like terms: 351.5 + -351.5 = 0.0 0.0 + 3.75c = 434 + -351.5 3.75c = 434 + -351.5 Combine like terms: 434 + -351.5 = 82.5 3.75c = 82.5 Divide each side by '3.75'. c = 22 Simplifying c = 22
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