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Simplifying 8c + 12 + -3c = -6 + -6 + 8c Reorder the terms: 12 + 8c + -3c = -6 + -6 + 8c Combine like terms: 8c + -3c = 5c 12 + 5c = -6 + -6 + 8c Combine like terms: -6 + -6 = -12 12 + 5c = -12 + 8c Solving 12 + 5c = -12 + 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. 12 + 5c + -8c = -12 + 8c + -8c Combine like terms: 5c + -8c = -3c 12 + -3c = -12 + 8c + -8c Combine like terms: 8c + -8c = 0 12 + -3c = -12 + 0 12 + -3c = -12 Add '-12' to each side of the equation. 12 + -12 + -3c = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -3c = -12 + -12 -3c = -12 + -12 Combine like terms: -12 + -12 = -24 -3c = -24 Divide each side by '-3'. c = 8 Simplifying c = 8
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