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Simplifying 2.50(-1c + 325) + 1.50c = 535.5 Reorder the terms: 2.50(325 + -1c) + 1.50c = 535.5 (325 * 2.50 + -1c * 2.50) + 1.50c = 535.5 (812.5 + -2.5c) + 1.50c = 535.5 Combine like terms: -2.5c + 1.50c = -1c 812.5 + -1c = 535.5 Solving 812.5 + -1c = 535.5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-812.5' to each side of the equation. 812.5 + -812.5 + -1c = 535.5 + -812.5 Combine like terms: 812.5 + -812.5 = 0.0 0.0 + -1c = 535.5 + -812.5 -1c = 535.5 + -812.5 Combine like terms: 535.5 + -812.5 = -277 -1c = -277 Divide each side by '-1'. c = 277 Simplifying c = 277
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