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Simplifying -3(v + -2) + 5(v + -4) = -6v + 6v Reorder the terms: -3(-2 + v) + 5(v + -4) = -6v + 6v (-2 * -3 + v * -3) + 5(v + -4) = -6v + 6v (6 + -3v) + 5(v + -4) = -6v + 6v Reorder the terms: 6 + -3v + 5(-4 + v) = -6v + 6v 6 + -3v + (-4 * 5 + v * 5) = -6v + 6v 6 + -3v + (-20 + 5v) = -6v + 6v Reorder the terms: 6 + -20 + -3v + 5v = -6v + 6v Combine like terms: 6 + -20 = -14 -14 + -3v + 5v = -6v + 6v Combine like terms: -3v + 5v = 2v -14 + 2v = -6v + 6v Combine like terms: -6v + 6v = 0 -14 + 2v = 0 Solving -14 + 2v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2v = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2v = 0 + 14 2v = 0 + 14 Combine like terms: 0 + 14 = 14 2v = 14 Divide each side by '2'. v = 7 Simplifying v = 7
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