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Simplifying 78 = 3c + 12 + -1c + 12 + -1c + 4 Reorder the terms: 78 = 12 + 12 + 4 + 3c + -1c + -1c Combine like terms: 12 + 12 = 24 78 = 24 + 4 + 3c + -1c + -1c Combine like terms: 24 + 4 = 28 78 = 28 + 3c + -1c + -1c Combine like terms: 3c + -1c = 2c 78 = 28 + 2c + -1c Combine like terms: 2c + -1c = 1c 78 = 28 + 1c Solving 78 = 28 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 78 + -1c = 28 + 1c + -1c Combine like terms: 1c + -1c = 0 78 + -1c = 28 + 0 78 + -1c = 28 Add '-78' to each side of the equation. 78 + -78 + -1c = 28 + -78 Combine like terms: 78 + -78 = 0 0 + -1c = 28 + -78 -1c = 28 + -78 Combine like terms: 28 + -78 = -50 -1c = -50 Divide each side by '-1'. c = 50 Simplifying c = 50
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