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Simplifying 2c + -2 = (c + -1) + -1(1 + -1c) Reorder the terms: -2 + 2c = (c + -1) + -1(1 + -1c) Reorder the terms: -2 + 2c = (-1 + c) + -1(1 + -1c) Remove parenthesis around (-1 + c) -2 + 2c = -1 + c + -1(1 + -1c) -2 + 2c = -1 + c + (1 * -1 + -1c * -1) -2 + 2c = -1 + c + (-1 + 1c) Reorder the terms: -2 + 2c = -1 + -1 + c + 1c Combine like terms: -1 + -1 = -2 -2 + 2c = -2 + c + 1c Combine like terms: c + 1c = 2c -2 + 2c = -2 + 2c Add '2' to each side of the equation. -2 + 2 + 2c = -2 + 2 + 2c Combine like terms: -2 + 2 = 0 0 + 2c = -2 + 2 + 2c 2c = -2 + 2 + 2c Combine like terms: -2 + 2 = 0 2c = 0 + 2c 2c = 2c Add '-2c' to each side of the equation. 2c + -2c = 2c + -2c Combine like terms: 2c + -2c = 0 0 = 2c + -2c Combine like terms: 2c + -2c = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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