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Simplifying -5 = 2c + -9(3c + -5) Reorder the terms: -5 = 2c + -9(-5 + 3c) -5 = 2c + (-5 * -9 + 3c * -9) -5 = 2c + (45 + -27c) Reorder the terms: -5 = 45 + 2c + -27c Combine like terms: 2c + -27c = -25c -5 = 45 + -25c Solving -5 = 45 + -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. -5 + 25c = 45 + -25c + 25c Combine like terms: -25c + 25c = 0 -5 + 25c = 45 + 0 -5 + 25c = 45 Add '5' to each side of the equation. -5 + 5 + 25c = 45 + 5 Combine like terms: -5 + 5 = 0 0 + 25c = 45 + 5 25c = 45 + 5 Combine like terms: 45 + 5 = 50 25c = 50 Divide each side by '25'. c = 2 Simplifying c = 2
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