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Simplifying 7v + -6(6 + -2v) = 12 7v + (6 * -6 + -2v * -6) = 12 7v + (-36 + 12v) = 12 Reorder the terms: -36 + 7v + 12v = 12 Combine like terms: 7v + 12v = 19v -36 + 19v = 12 Solving -36 + 19v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 19v = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 19v = 12 + 36 19v = 12 + 36 Combine like terms: 12 + 36 = 48 19v = 48 Divide each side by '19'. v = 2.526315789 Simplifying v = 2.526315789
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