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Simplifying 8(2 + -1c) + -12 = 3c (2 * 8 + -1c * 8) + -12 = 3c (16 + -8c) + -12 = 3c Reorder the terms: 16 + -12 + -8c = 3c Combine like terms: 16 + -12 = 4 4 + -8c = 3c Solving 4 + -8c = 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 4 + -8c + -3c = 3c + -3c Combine like terms: -8c + -3c = -11c 4 + -11c = 3c + -3c Combine like terms: 3c + -3c = 0 4 + -11c = 0 Add '-4' to each side of the equation. 4 + -4 + -11c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11c = 0 + -4 -11c = 0 + -4 Combine like terms: 0 + -4 = -4 -11c = -4 Divide each side by '-11'. c = 0.3636363636 Simplifying c = 0.3636363636
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