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Simplifying 2(-12c + 1) + 12c = -14c Reorder the terms: 2(1 + -12c) + 12c = -14c (1 * 2 + -12c * 2) + 12c = -14c (2 + -24c) + 12c = -14c Combine like terms: -24c + 12c = -12c 2 + -12c = -14c Solving 2 + -12c = -14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '14c' to each side of the equation. 2 + -12c + 14c = -14c + 14c Combine like terms: -12c + 14c = 2c 2 + 2c = -14c + 14c Combine like terms: -14c + 14c = 0 2 + 2c = 0 Add '-2' to each side of the equation. 2 + -2 + 2c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2c = 0 + -2 2c = 0 + -2 Combine like terms: 0 + -2 = -2 2c = -2 Divide each side by '2'. c = -1 Simplifying c = -1
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