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Simplifying 12(3c + -2) = 4c + -4 Reorder the terms: 12(-2 + 3c) = 4c + -4 (-2 * 12 + 3c * 12) = 4c + -4 (-24 + 36c) = 4c + -4 Reorder the terms: -24 + 36c = -4 + 4c Solving -24 + 36c = -4 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -24 + 36c + -4c = -4 + 4c + -4c Combine like terms: 36c + -4c = 32c -24 + 32c = -4 + 4c + -4c Combine like terms: 4c + -4c = 0 -24 + 32c = -4 + 0 -24 + 32c = -4 Add '24' to each side of the equation. -24 + 24 + 32c = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 32c = -4 + 24 32c = -4 + 24 Combine like terms: -4 + 24 = 20 32c = 20 Divide each side by '32'. c = 0.625 Simplifying c = 0.625
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