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Simplifying -3(-9c + -19) = 3c + 9(3c + -14) Reorder the terms: -3(-19 + -9c) = 3c + 9(3c + -14) (-19 * -3 + -9c * -3) = 3c + 9(3c + -14) (57 + 27c) = 3c + 9(3c + -14) Reorder the terms: 57 + 27c = 3c + 9(-14 + 3c) 57 + 27c = 3c + (-14 * 9 + 3c * 9) 57 + 27c = 3c + (-126 + 27c) Reorder the terms: 57 + 27c = -126 + 3c + 27c Combine like terms: 3c + 27c = 30c 57 + 27c = -126 + 30c Solving 57 + 27c = -126 + 30c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-30c' to each side of the equation. 57 + 27c + -30c = -126 + 30c + -30c Combine like terms: 27c + -30c = -3c 57 + -3c = -126 + 30c + -30c Combine like terms: 30c + -30c = 0 57 + -3c = -126 + 0 57 + -3c = -126 Add '-57' to each side of the equation. 57 + -57 + -3c = -126 + -57 Combine like terms: 57 + -57 = 0 0 + -3c = -126 + -57 -3c = -126 + -57 Combine like terms: -126 + -57 = -183 -3c = -183 Divide each side by '-3'. c = 61 Simplifying c = 61
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