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Simplifying 3(4 + 6c) + 4(2 + 4c) = 0 (4 * 3 + 6c * 3) + 4(2 + 4c) = 0 (12 + 18c) + 4(2 + 4c) = 0 12 + 18c + (2 * 4 + 4c * 4) = 0 12 + 18c + (8 + 16c) = 0 Reorder the terms: 12 + 8 + 18c + 16c = 0 Combine like terms: 12 + 8 = 20 20 + 18c + 16c = 0 Combine like terms: 18c + 16c = 34c 20 + 34c = 0 Solving 20 + 34c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 34c = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 34c = 0 + -20 34c = 0 + -20 Combine like terms: 0 + -20 = -20 34c = -20 Divide each side by '34'. c = -0.5882352941 Simplifying c = -0.5882352941
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