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Simplifying -34 + -8v = -6(1 + 2v) -34 + -8v = (1 * -6 + 2v * -6) -34 + -8v = (-6 + -12v) Solving -34 + -8v = -6 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -34 + -8v + 12v = -6 + -12v + 12v Combine like terms: -8v + 12v = 4v -34 + 4v = -6 + -12v + 12v Combine like terms: -12v + 12v = 0 -34 + 4v = -6 + 0 -34 + 4v = -6 Add '34' to each side of the equation. -34 + 34 + 4v = -6 + 34 Combine like terms: -34 + 34 = 0 0 + 4v = -6 + 34 4v = -6 + 34 Combine like terms: -6 + 34 = 28 4v = 28 Divide each side by '4'. v = 7 Simplifying v = 7
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