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Simplifying 34 = 2(v + 5) + 4v Reorder the terms: 34 = 2(5 + v) + 4v 34 = (5 * 2 + v * 2) + 4v 34 = (10 + 2v) + 4v Combine like terms: 2v + 4v = 6v 34 = 10 + 6v Solving 34 = 10 + 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 = 10 + 6v + -6v Combine like terms: 6v + -6v = 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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