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