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Simplifying -6(1 + -2v) = 34 + 4v (1 * -6 + -2v * -6) = 34 + 4v (-6 + 12v) = 34 + 4v Solving -6 + 12v = 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. -6 + 12v + -4v = 34 + 4v + -4v Combine like terms: 12v + -4v = 8v -6 + 8v = 34 + 4v + -4v Combine like terms: 4v + -4v = 0 -6 + 8v = 34 + 0 -6 + 8v = 34 Add '6' to each side of the equation. -6 + 6 + 8v = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 8v = 34 + 6 8v = 34 + 6 Combine like terms: 34 + 6 = 40 8v = 40 Divide each side by '8'. v = 5 Simplifying v = 5
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