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Simplifying 2c + 4(c + 3) = 0 Reorder the terms: 2c + 4(3 + c) = 0 2c + (3 * 4 + c * 4) = 0 2c + (12 + 4c) = 0 Reorder the terms: 12 + 2c + 4c = 0 Combine like terms: 2c + 4c = 6c 12 + 6c = 0 Solving 12 + 6c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6c = 0 + -12 6c = 0 + -12 Combine like terms: 0 + -12 = -12 6c = -12 Divide each side by '6'. c = -2 Simplifying c = -2
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