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Simplifying -2v + 4(-1 + 3v) = -34 + 4v -2v + (-1 * 4 + 3v * 4) = -34 + 4v -2v + (-4 + 12v) = -34 + 4v Reorder the terms: -4 + -2v + 12v = -34 + 4v Combine like terms: -2v + 12v = 10v -4 + 10v = -34 + 4v Solving -4 + 10v = -34 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -4 + 10v + -4v = -34 + 4v + -4v Combine like terms: 10v + -4v = 6v -4 + 6v = -34 + 4v + -4v Combine like terms: 4v + -4v = 0 -4 + 6v = -34 + 0 -4 + 6v = -34 Add '4' to each side of the equation. -4 + 4 + 6v = -34 + 4 Combine like terms: -4 + 4 = 0 0 + 6v = -34 + 4 6v = -34 + 4 Combine like terms: -34 + 4 = -30 6v = -30 Divide each side by '6'. v = -5 Simplifying v = -5
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