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