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Simplifying 14 + -1(6 + -3c) = 4c + -1v 14 + (6 * -1 + -3c * -1) = 4c + -1v 14 + (-6 + 3c) = 4c + -1v Combine like terms: 14 + -6 = 8 8 + 3c = 4c + -1v Solving 8 + 3c = 4c + -1v Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 8 + 3c + -4c = 4c + -4c + -1v Combine like terms: 3c + -4c = -1c 8 + -1c = 4c + -4c + -1v Combine like terms: 4c + -4c = 0 8 + -1c = 0 + -1v 8 + -1c = -1v Add '-8' to each side of the equation. 8 + -8 + -1c = -8 + -1v Combine like terms: 8 + -8 = 0 0 + -1c = -8 + -1v -1c = -8 + -1v Divide each side by '-1'. c = 8 + v Simplifying c = 8 + v
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