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Simplifying 45 + 4c = 61 + 2c Solving 45 + 4c = 61 + 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. 45 + 4c + -2c = 61 + 2c + -2c Combine like terms: 4c + -2c = 2c 45 + 2c = 61 + 2c + -2c Combine like terms: 2c + -2c = 0 45 + 2c = 61 + 0 45 + 2c = 61 Add '-45' to each side of the equation. 45 + -45 + 2c = 61 + -45 Combine like terms: 45 + -45 = 0 0 + 2c = 61 + -45 2c = 61 + -45 Combine like terms: 61 + -45 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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