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Simplifying 4(3 + c) + -1(2 + -1c) = 0 (3 * 4 + c * 4) + -1(2 + -1c) = 0 (12 + 4c) + -1(2 + -1c) = 0 12 + 4c + (2 * -1 + -1c * -1) = 0 12 + 4c + (-2 + 1c) = 0 Reorder the terms: 12 + -2 + 4c + 1c = 0 Combine like terms: 12 + -2 = 10 10 + 4c + 1c = 0 Combine like terms: 4c + 1c = 5c 10 + 5c = 0 Solving 10 + 5c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5c = 0 + -10 5c = 0 + -10 Combine like terms: 0 + -10 = -10 5c = -10 Divide each side by '5'. c = -2 Simplifying c = -2
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