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Simplifying 9(9c + -1) + -14 = 79c + 9 Reorder the terms: 9(-1 + 9c) + -14 = 79c + 9 (-1 * 9 + 9c * 9) + -14 = 79c + 9 (-9 + 81c) + -14 = 79c + 9 Reorder the terms: -9 + -14 + 81c = 79c + 9 Combine like terms: -9 + -14 = -23 -23 + 81c = 79c + 9 Reorder the terms: -23 + 81c = 9 + 79c Solving -23 + 81c = 9 + 79c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-79c' to each side of the equation. -23 + 81c + -79c = 9 + 79c + -79c Combine like terms: 81c + -79c = 2c -23 + 2c = 9 + 79c + -79c Combine like terms: 79c + -79c = 0 -23 + 2c = 9 + 0 -23 + 2c = 9 Add '23' to each side of the equation. -23 + 23 + 2c = 9 + 23 Combine like terms: -23 + 23 = 0 0 + 2c = 9 + 23 2c = 9 + 23 Combine like terms: 9 + 23 = 32 2c = 32 Divide each side by '2'. c = 16 Simplifying c = 16
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