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Simplifying 3c + 8 = 23 + -2c Reorder the terms: 8 + 3c = 23 + -2c Solving 8 + 3c = 23 + -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. 8 + 3c + 2c = 23 + -2c + 2c Combine like terms: 3c + 2c = 5c 8 + 5c = 23 + -2c + 2c Combine like terms: -2c + 2c = 0 8 + 5c = 23 + 0 8 + 5c = 23 Add '-8' to each side of the equation. 8 + -8 + 5c = 23 + -8 Combine like terms: 8 + -8 = 0 0 + 5c = 23 + -8 5c = 23 + -8 Combine like terms: 23 + -8 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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