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Simplifying 3(c + 1) + -1c = 21 + 2(1 + c) Reorder the terms: 3(1 + c) + -1c = 21 + 2(1 + c) (1 * 3 + c * 3) + -1c = 21 + 2(1 + c) (3 + 3c) + -1c = 21 + 2(1 + c) Combine like terms: 3c + -1c = 2c 3 + 2c = 21 + 2(1 + c) 3 + 2c = 21 + (1 * 2 + c * 2) 3 + 2c = 21 + (2 + 2c) Combine like terms: 21 + 2 = 23 3 + 2c = 23 + 2c Add '-2c' to each side of the equation. 3 + 2c + -2c = 23 + 2c + -2c Combine like terms: 2c + -2c = 0 3 + 0 = 23 + 2c + -2c 3 = 23 + 2c + -2c Combine like terms: 2c + -2c = 0 3 = 23 + 0 3 = 23 Solving 3 = 23 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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