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Simplifying 2(7c + -1) + -8 = 12c + 2 Reorder the terms: 2(-1 + 7c) + -8 = 12c + 2 (-1 * 2 + 7c * 2) + -8 = 12c + 2 (-2 + 14c) + -8 = 12c + 2 Reorder the terms: -2 + -8 + 14c = 12c + 2 Combine like terms: -2 + -8 = -10 -10 + 14c = 12c + 2 Reorder the terms: -10 + 14c = 2 + 12c Solving -10 + 14c = 2 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -10 + 14c + -12c = 2 + 12c + -12c Combine like terms: 14c + -12c = 2c -10 + 2c = 2 + 12c + -12c Combine like terms: 12c + -12c = 0 -10 + 2c = 2 + 0 -10 + 2c = 2 Add '10' to each side of the equation. -10 + 10 + 2c = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 2c = 2 + 10 2c = 2 + 10 Combine like terms: 2 + 10 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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