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Simplifying -34 + -6v = -2(6v + 5) Reorder the terms: -34 + -6v = -2(5 + 6v) -34 + -6v = (5 * -2 + 6v * -2) -34 + -6v = (-10 + -12v) Solving -34 + -6v = -10 + -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 + -6v + 12v = -10 + -12v + 12v Combine like terms: -6v + 12v = 6v -34 + 6v = -10 + -12v + 12v Combine like terms: -12v + 12v = 0 -34 + 6v = -10 + 0 -34 + 6v = -10 Add '34' to each side of the equation. -34 + 34 + 6v = -10 + 34 Combine like terms: -34 + 34 = 0 0 + 6v = -10 + 34 6v = -10 + 34 Combine like terms: -10 + 34 = 24 6v = 24 Divide each side by '6'. v = 4 Simplifying v = 4
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