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Simplifying 2(c + 3) = c + -12 Reorder the terms: 2(3 + c) = c + -12 (3 * 2 + c * 2) = c + -12 (6 + 2c) = c + -12 Reorder the terms: 6 + 2c = -12 + c Solving 6 + 2c = -12 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 6 + 2c + -1c = -12 + c + -1c Combine like terms: 2c + -1c = 1c 6 + 1c = -12 + c + -1c Combine like terms: c + -1c = 0 6 + 1c = -12 + 0 6 + 1c = -12 Add '-6' to each side of the equation. 6 + -6 + 1c = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 1c = -12 + -6 1c = -12 + -6 Combine like terms: -12 + -6 = -18 1c = -18 Divide each side by '1'. c = -18 Simplifying c = -18
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