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Simplifying -26.5 + -7.5c = 4.5(8c + 8.5) Reorder the terms: -26.5 + -7.5c = 4.5(8.5 + 8c) -26.5 + -7.5c = (8.5 * 4.5 + 8c * 4.5) -26.5 + -7.5c = (38.25 + 36c) Solving -26.5 + -7.5c = 38.25 + 36c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-36c' to each side of the equation. -26.5 + -7.5c + -36c = 38.25 + 36c + -36c Combine like terms: -7.5c + -36c = -43.5c -26.5 + -43.5c = 38.25 + 36c + -36c Combine like terms: 36c + -36c = 0 -26.5 + -43.5c = 38.25 + 0 -26.5 + -43.5c = 38.25 Add '26.5' to each side of the equation. -26.5 + 26.5 + -43.5c = 38.25 + 26.5 Combine like terms: -26.5 + 26.5 = 0.0 0.0 + -43.5c = 38.25 + 26.5 -43.5c = 38.25 + 26.5 Combine like terms: 38.25 + 26.5 = 64.75 -43.5c = 64.75 Divide each side by '-43.5'. c = -1.488505747 Simplifying c = -1.488505747
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