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Simplifying 12(6c + -2) = 8c + -9 Reorder the terms: 12(-2 + 6c) = 8c + -9 (-2 * 12 + 6c * 12) = 8c + -9 (-24 + 72c) = 8c + -9 Reorder the terms: -24 + 72c = -9 + 8c Solving -24 + 72c = -9 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -24 + 72c + -8c = -9 + 8c + -8c Combine like terms: 72c + -8c = 64c -24 + 64c = -9 + 8c + -8c Combine like terms: 8c + -8c = 0 -24 + 64c = -9 + 0 -24 + 64c = -9 Add '24' to each side of the equation. -24 + 24 + 64c = -9 + 24 Combine like terms: -24 + 24 = 0 0 + 64c = -9 + 24 64c = -9 + 24 Combine like terms: -9 + 24 = 15 64c = 15 Divide each side by '64'. c = 0.234375 Simplifying c = 0.234375
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