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