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Simplifying -9(3c + 7) = -27 + -5c Reorder the terms: -9(7 + 3c) = -27 + -5c (7 * -9 + 3c * -9) = -27 + -5c (-63 + -27c) = -27 + -5c Solving -63 + -27c = -27 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. -63 + -27c + 5c = -27 + -5c + 5c Combine like terms: -27c + 5c = -22c -63 + -22c = -27 + -5c + 5c Combine like terms: -5c + 5c = 0 -63 + -22c = -27 + 0 -63 + -22c = -27 Add '63' to each side of the equation. -63 + 63 + -22c = -27 + 63 Combine like terms: -63 + 63 = 0 0 + -22c = -27 + 63 -22c = -27 + 63 Combine like terms: -27 + 63 = 36 -22c = 36 Divide each side by '-22'. c = -1.636363636 Simplifying c = -1.636363636
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