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