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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 = 21c 45 + 21c = -75 Solving 45 + 21c = -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 + 21c = -75 + -45 Combine like terms: 45 + -45 = 0 0 + 21c = -75 + -45 21c = -75 + -45 Combine like terms: -75 + -45 = -120 21c = -120 Divide each side by '21'. c = -5.714285714 Simplifying c = -5.714285714
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