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Simplifying 9(2c + 5) + 5c = -75 Reorder the terms: 9(5 + 2c) + 5c = -75 (5 * 9 + 2c * 9) + 5c = -75 (45 + 18c) + 5c = -75 Combine like terms: 18c + 5c = 23c 45 + 23c = -75 Solving 45 + 23c = -75 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 23c = -75 + -45 Combine like terms: 45 + -45 = 0 0 + 23c = -75 + -45 23c = -75 + -45 Combine like terms: -75 + -45 = -120 23c = -120 Divide each side by '23'. c = -5.217391304 Simplifying c = -5.217391304
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