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Simplifying 45 + -2c + 4 = 4c + 20 + c Reorder the terms: 45 + 4 + -2c = 4c + 20 + c Combine like terms: 45 + 4 = 49 49 + -2c = 4c + 20 + c Reorder the terms: 49 + -2c = 20 + 4c + c Combine like terms: 4c + c = 5c 49 + -2c = 20 + 5c Solving 49 + -2c = 20 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 49 + -2c + -5c = 20 + 5c + -5c Combine like terms: -2c + -5c = -7c 49 + -7c = 20 + 5c + -5c Combine like terms: 5c + -5c = 0 49 + -7c = 20 + 0 49 + -7c = 20 Add '-49' to each side of the equation. 49 + -49 + -7c = 20 + -49 Combine like terms: 49 + -49 = 0 0 + -7c = 20 + -49 -7c = 20 + -49 Combine like terms: 20 + -49 = -29 -7c = -29 Divide each side by '-7'. c = 4.142857143 Simplifying c = 4.142857143
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