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Simplifying 34 = 2(v + 2) + -8v Reorder the terms: 34 = 2(2 + v) + -8v 34 = (2 * 2 + v * 2) + -8v 34 = (4 + 2v) + -8v Combine like terms: 2v + -8v = -6v 34 = 4 + -6v Solving 34 = 4 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 34 + 6v = 4 + -6v + 6v Combine like terms: -6v + 6v = 0 34 + 6v = 4 + 0 34 + 6v = 4 Add '-34' to each side of the equation. 34 + -34 + 6v = 4 + -34 Combine like terms: 34 + -34 = 0 0 + 6v = 4 + -34 6v = 4 + -34 Combine like terms: 4 + -34 = -30 6v = -30 Divide each side by '6'. v = -5 Simplifying v = -5
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