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Simplifying 2500 = 25(c + 1) Reorder the terms: 2500 = 25(1 + c) 2500 = (1 * 25 + c * 25) 2500 = (25 + 25c) Solving 2500 = 25 + 25c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-25c' to each side of the equation. 2500 + -25c = 25 + 25c + -25c Combine like terms: 25c + -25c = 0 2500 + -25c = 25 + 0 2500 + -25c = 25 Add '-2500' to each side of the equation. 2500 + -2500 + -25c = 25 + -2500 Combine like terms: 2500 + -2500 = 0 0 + -25c = 25 + -2500 -25c = 25 + -2500 Combine like terms: 25 + -2500 = -2475 -25c = -2475 Divide each side by '-25'. c = 99 Simplifying c = 99
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