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Simplifying 6(4c + 2) + -6(2c + -2) = 0 Reorder the terms: 6(2 + 4c) + -6(2c + -2) = 0 (2 * 6 + 4c * 6) + -6(2c + -2) = 0 (12 + 24c) + -6(2c + -2) = 0 Reorder the terms: 12 + 24c + -6(-2 + 2c) = 0 12 + 24c + (-2 * -6 + 2c * -6) = 0 12 + 24c + (12 + -12c) = 0 Reorder the terms: 12 + 12 + 24c + -12c = 0 Combine like terms: 12 + 12 = 24 24 + 24c + -12c = 0 Combine like terms: 24c + -12c = 12c 24 + 12c = 0 Solving 24 + 12c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 12c = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 12c = 0 + -24 12c = 0 + -24 Combine like terms: 0 + -24 = -24 12c = -24 Divide each side by '12'. c = -2 Simplifying c = -2
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