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Simplifying 8c + 12 + -3c = 6c + -6 + 8c Reorder the terms: 12 + 8c + -3c = 6c + -6 + 8c Combine like terms: 8c + -3c = 5c 12 + 5c = 6c + -6 + 8c Reorder the terms: 12 + 5c = -6 + 6c + 8c Combine like terms: 6c + 8c = 14c 12 + 5c = -6 + 14c Solving 12 + 5c = -6 + 14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. 12 + 5c + -14c = -6 + 14c + -14c Combine like terms: 5c + -14c = -9c 12 + -9c = -6 + 14c + -14c Combine like terms: 14c + -14c = 0 12 + -9c = -6 + 0 12 + -9c = -6 Add '-12' to each side of the equation. 12 + -12 + -9c = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9c = -6 + -12 -9c = -6 + -12 Combine like terms: -6 + -12 = -18 -9c = -18 Divide each side by '-9'. c = 2 Simplifying c = 2
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