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Simplifying 7v + -3(6 + -2c) = 12 7v + (6 * -3 + -2c * -3) = 12 7v + (-18 + 6c) = 12 Reorder the terms: -18 + 6c + 7v = 12 Solving -18 + 6c + 7v = 12 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 6c + 18 + 7v = 12 + 18 Reorder the terms: -18 + 18 + 6c + 7v = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 6c + 7v = 12 + 18 6c + 7v = 12 + 18 Combine like terms: 12 + 18 = 30 6c + 7v = 30 Add '-7v' to each side of the equation. 6c + 7v + -7v = 30 + -7v Combine like terms: 7v + -7v = 0 6c + 0 = 30 + -7v 6c = 30 + -7v Divide each side by '6'. c = 5 + -1.166666667v Simplifying c = 5 + -1.166666667v
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