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Simplifying (c + -3) + -2c + -1(1 + -3c) = 2 Reorder the terms: (-3 + c) + -2c + -1(1 + -3c) = 2 Remove parenthesis around (-3 + c) -3 + c + -2c + -1(1 + -3c) = 2 -3 + c + -2c + (1 * -1 + -3c * -1) = 2 -3 + c + -2c + (-1 + 3c) = 2 Reorder the terms: -3 + -1 + c + -2c + 3c = 2 Combine like terms: -3 + -1 = -4 -4 + c + -2c + 3c = 2 Combine like terms: c + -2c = -1c -4 + -1c + 3c = 2 Combine like terms: -1c + 3c = 2c -4 + 2c = 2 Solving -4 + 2c = 2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2c = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 2c = 2 + 4 2c = 2 + 4 Combine like terms: 2 + 4 = 6 2c = 6 Divide each side by '2'. c = 3 Simplifying c = 3
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