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Simplifying 3(c + 2) = 2(c + 2) Reorder the terms: 3(2 + c) = 2(c + 2) (2 * 3 + c * 3) = 2(c + 2) (6 + 3c) = 2(c + 2) Reorder the terms: 6 + 3c = 2(2 + c) 6 + 3c = (2 * 2 + c * 2) 6 + 3c = (4 + 2c) Solving 6 + 3c = 4 + 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. 6 + 3c + -2c = 4 + 2c + -2c Combine like terms: 3c + -2c = 1c 6 + 1c = 4 + 2c + -2c Combine like terms: 2c + -2c = 0 6 + 1c = 4 + 0 6 + 1c = 4 Add '-6' to each side of the equation. 6 + -6 + 1c = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 1c = 4 + -6 1c = 4 + -6 Combine like terms: 4 + -6 = -2 1c = -2 Divide each side by '1'. c = -2 Simplifying c = -2
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