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Simplifying 7v + -1(-6 + -2v) = 12 7v + (-6 * -1 + -2v * -1) = 12 7v + (6 + 2v) = 12 Reorder the terms: 6 + 7v + 2v = 12 Combine like terms: 7v + 2v = 9v 6 + 9v = 12 Solving 6 + 9v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 9v = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 9v = 12 + -6 9v = 12 + -6 Combine like terms: 12 + -6 = 6 9v = 6 Divide each side by '9'. v = 0.6666666667 Simplifying v = 0.6666666667
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