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Simplifying 2(c + 3) + -5 = 6c + -2(1 + 2c) Reorder the terms: 2(3 + c) + -5 = 6c + -2(1 + 2c) (3 * 2 + c * 2) + -5 = 6c + -2(1 + 2c) (6 + 2c) + -5 = 6c + -2(1 + 2c) Reorder the terms: 6 + -5 + 2c = 6c + -2(1 + 2c) Combine like terms: 6 + -5 = 1 1 + 2c = 6c + -2(1 + 2c) 1 + 2c = 6c + (1 * -2 + 2c * -2) 1 + 2c = 6c + (-2 + -4c) Reorder the terms: 1 + 2c = -2 + 6c + -4c Combine like terms: 6c + -4c = 2c 1 + 2c = -2 + 2c Add '-2c' to each side of the equation. 1 + 2c + -2c = -2 + 2c + -2c Combine like terms: 2c + -2c = 0 1 + 0 = -2 + 2c + -2c 1 = -2 + 2c + -2c Combine like terms: 2c + -2c = 0 1 = -2 + 0 1 = -2 Solving 1 = -2 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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