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Simplifying 7v + -1(5 + -2v) = 12 7v + (5 * -1 + -2v * -1) = 12 7v + (-5 + 2v) = 12 Reorder the terms: -5 + 7v + 2v = 12 Combine like terms: 7v + 2v = 9v -5 + 9v = 12 Solving -5 + 9v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 9v = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 9v = 12 + 5 9v = 12 + 5 Combine like terms: 12 + 5 = 17 9v = 17 Divide each side by '9'. v = 1.888888889 Simplifying v = 1.888888889
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