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Simplifying 12(4c + -2) = 3c + -4 Reorder the terms: 12(-2 + 4c) = 3c + -4 (-2 * 12 + 4c * 12) = 3c + -4 (-24 + 48c) = 3c + -4 Reorder the terms: -24 + 48c = -4 + 3c Solving -24 + 48c = -4 + 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. -24 + 48c + -3c = -4 + 3c + -3c Combine like terms: 48c + -3c = 45c -24 + 45c = -4 + 3c + -3c Combine like terms: 3c + -3c = 0 -24 + 45c = -4 + 0 -24 + 45c = -4 Add '24' to each side of the equation. -24 + 24 + 45c = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 45c = -4 + 24 45c = -4 + 24 Combine like terms: -4 + 24 = 20 45c = 20 Divide each side by '45'. c = 0.4444444444 Simplifying c = 0.4444444444
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