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Simplifying 7v + -1(6 + -2c) = 12 7v + (6 * -1 + -2c * -1) = 12 7v + (-6 + 2c) = 12 Reorder the terms: -6 + 2c + 7v = 12 Solving -6 + 2c + 7v = 12 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2c + 6 + 7v = 12 + 6 Reorder the terms: -6 + 6 + 2c + 7v = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2c + 7v = 12 + 6 2c + 7v = 12 + 6 Combine like terms: 12 + 6 = 18 2c + 7v = 18 Add '-7v' to each side of the equation. 2c + 7v + -7v = 18 + -7v Combine like terms: 7v + -7v = 0 2c + 0 = 18 + -7v 2c = 18 + -7v Divide each side by '2'. c = 9 + -3.5v Simplifying c = 9 + -3.5v
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