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Simplifying 5v + -1(6 + -2v) = 12 5v + (6 * -1 + -2v * -1) = 12 5v + (-6 + 2v) = 12 Reorder the terms: -6 + 5v + 2v = 12 Combine like terms: 5v + 2v = 7v -6 + 7v = 12 Solving -6 + 7v = 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 + 7v = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 7v = 12 + 6 7v = 12 + 6 Combine like terms: 12 + 6 = 18 7v = 18 Divide each side by '7'. v = 2.571428571 Simplifying v = 2.571428571
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