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Simplifying -9(2c + -5) + 3c = -75 Reorder the terms: -9(-5 + 2c) + 3c = -75 (-5 * -9 + 2c * -9) + 3c = -75 (45 + -18c) + 3c = -75 Combine like terms: -18c + 3c = -15c 45 + -15c = -75 Solving 45 + -15c = -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 + -15c = -75 + -45 Combine like terms: 45 + -45 = 0 0 + -15c = -75 + -45 -15c = -75 + -45 Combine like terms: -75 + -45 = -120 -15c = -120 Divide each side by '-15'. c = 8 Simplifying c = 8
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