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Simplifying 78 = 3c + 112 + -1c + 4 Reorder the terms: 78 = 112 + 4 + 3c + -1c Combine like terms: 112 + 4 = 116 78 = 116 + 3c + -1c Combine like terms: 3c + -1c = 2c 78 = 116 + 2c Solving 78 = 116 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 78 + -2c = 116 + 2c + -2c Combine like terms: 2c + -2c = 0 78 + -2c = 116 + 0 78 + -2c = 116 Add '-78' to each side of the equation. 78 + -78 + -2c = 116 + -78 Combine like terms: 78 + -78 = 0 0 + -2c = 116 + -78 -2c = 116 + -78 Combine like terms: 116 + -78 = 38 -2c = 38 Divide each side by '-2'. c = -19 Simplifying c = -19
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