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