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