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Simplifying 12c + 16 = 8c + -12 Reorder the terms: 16 + 12c = 8c + -12 Reorder the terms: 16 + 12c = -12 + 8c Solving 16 + 12c = -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. 16 + 12c + -8c = -12 + 8c + -8c Combine like terms: 12c + -8c = 4c 16 + 4c = -12 + 8c + -8c Combine like terms: 8c + -8c = 0 16 + 4c = -12 + 0 16 + 4c = -12 Add '-16' to each side of the equation. 16 + -16 + 4c = -12 + -16 Combine like terms: 16 + -16 = 0 0 + 4c = -12 + -16 4c = -12 + -16 Combine like terms: -12 + -16 = -28 4c = -28 Divide each side by '4'. c = -7 Simplifying c = -7
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