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Simplifying 3c + 12 + -1c + 4 = 78 Reorder the terms: 12 + 4 + 3c + -1c = 78 Combine like terms: 12 + 4 = 16 16 + 3c + -1c = 78 Combine like terms: 3c + -1c = 2c 16 + 2c = 78 Solving 16 + 2c = 78 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2c = 78 + -16 Combine like terms: 16 + -16 = 0 0 + 2c = 78 + -16 2c = 78 + -16 Combine like terms: 78 + -16 = 62 2c = 62 Divide each side by '2'. c = 31 Simplifying c = 31
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