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Simplifying (c + -1) + -1(1 + -1c) = 2a + -2 Reorder the terms: (-1 + c) + -1(1 + -1c) = 2a + -2 Remove parenthesis around (-1 + c) -1 + c + -1(1 + -1c) = 2a + -2 -1 + c + (1 * -1 + -1c * -1) = 2a + -2 -1 + c + (-1 + 1c) = 2a + -2 Reorder the terms: -1 + -1 + c + 1c = 2a + -2 Combine like terms: -1 + -1 = -2 -2 + c + 1c = 2a + -2 Combine like terms: c + 1c = 2c -2 + 2c = 2a + -2 Reorder the terms: -2 + 2c = -2 + 2a Add '2' to each side of the equation. -2 + 2 + 2c = -2 + 2 + 2a Combine like terms: -2 + 2 = 0 0 + 2c = -2 + 2 + 2a 2c = -2 + 2 + 2a Combine like terms: -2 + 2 = 0 2c = 0 + 2a 2c = 2a Solving 2c = 2a Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '2'. c = a Simplifying c = a
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