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Simplifying 2(3v + -5) + -1(-6 + 2v) = 12 Reorder the terms: 2(-5 + 3v) + -1(-6 + 2v) = 12 (-5 * 2 + 3v * 2) + -1(-6 + 2v) = 12 (-10 + 6v) + -1(-6 + 2v) = 12 -10 + 6v + (-6 * -1 + 2v * -1) = 12 -10 + 6v + (6 + -2v) = 12 Reorder the terms: -10 + 6 + 6v + -2v = 12 Combine like terms: -10 + 6 = -4 -4 + 6v + -2v = 12 Combine like terms: 6v + -2v = 4v -4 + 4v = 12 Solving -4 + 4v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4v = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4v = 12 + 4 4v = 12 + 4 Combine like terms: 12 + 4 = 16 4v = 16 Divide each side by '4'. v = 4 Simplifying v = 4
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