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Simplifying 6(9c + -1) + -12 = 52c + 6 Reorder the terms: 6(-1 + 9c) + -12 = 52c + 6 (-1 * 6 + 9c * 6) + -12 = 52c + 6 (-6 + 54c) + -12 = 52c + 6 Reorder the terms: -6 + -12 + 54c = 52c + 6 Combine like terms: -6 + -12 = -18 -18 + 54c = 52c + 6 Reorder the terms: -18 + 54c = 6 + 52c Solving -18 + 54c = 6 + 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. -18 + 54c + -52c = 6 + 52c + -52c Combine like terms: 54c + -52c = 2c -18 + 2c = 6 + 52c + -52c Combine like terms: 52c + -52c = 0 -18 + 2c = 6 + 0 -18 + 2c = 6 Add '18' to each side of the equation. -18 + 18 + 2c = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 2c = 6 + 18 2c = 6 + 18 Combine like terms: 6 + 18 = 24 2c = 24 Divide each side by '2'. c = 12 Simplifying c = 12
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