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Simplifying 2(9c + -1) + -12 = 16c + 2 Reorder the terms: 2(-1 + 9c) + -12 = 16c + 2 (-1 * 2 + 9c * 2) + -12 = 16c + 2 (-2 + 18c) + -12 = 16c + 2 Reorder the terms: -2 + -12 + 18c = 16c + 2 Combine like terms: -2 + -12 = -14 -14 + 18c = 16c + 2 Reorder the terms: -14 + 18c = 2 + 16c Solving -14 + 18c = 2 + 16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16c' to each side of the equation. -14 + 18c + -16c = 2 + 16c + -16c Combine like terms: 18c + -16c = 2c -14 + 2c = 2 + 16c + -16c Combine like terms: 16c + -16c = 0 -14 + 2c = 2 + 0 -14 + 2c = 2 Add '14' to each side of the equation. -14 + 14 + 2c = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 2c = 2 + 14 2c = 2 + 14 Combine like terms: 2 + 14 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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