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