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Simplifying 9(6c + -1) + -12 = 52c + 9 Reorder the terms: 9(-1 + 6c) + -12 = 52c + 9 (-1 * 9 + 6c * 9) + -12 = 52c + 9 (-9 + 54c) + -12 = 52c + 9 Reorder the terms: -9 + -12 + 54c = 52c + 9 Combine like terms: -9 + -12 = -21 -21 + 54c = 52c + 9 Reorder the terms: -21 + 54c = 9 + 52c Solving -21 + 54c = 9 + 52c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-52c' to each side of the equation. -21 + 54c + -52c = 9 + 52c + -52c Combine like terms: 54c + -52c = 2c -21 + 2c = 9 + 52c + -52c Combine like terms: 52c + -52c = 0 -21 + 2c = 9 + 0 -21 + 2c = 9 Add '21' to each side of the equation. -21 + 21 + 2c = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 2c = 9 + 21 2c = 9 + 21 Combine like terms: 9 + 21 = 30 2c = 30 Divide each side by '2'. c = 15 Simplifying c = 15
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