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Simplifying 34 = -5v + 2(v + 5) Reorder the terms: 34 = -5v + 2(5 + v) 34 = -5v + (5 * 2 + v * 2) 34 = -5v + (10 + 2v) Reorder the terms: 34 = 10 + -5v + 2v Combine like terms: -5v + 2v = -3v 34 = 10 + -3v Solving 34 = 10 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 34 + 3v = 10 + -3v + 3v Combine like terms: -3v + 3v = 0 34 + 3v = 10 + 0 34 + 3v = 10 Add '-34' to each side of the equation. 34 + -34 + 3v = 10 + -34 Combine like terms: 34 + -34 = 0 0 + 3v = 10 + -34 3v = 10 + -34 Combine like terms: 10 + -34 = -24 3v = -24 Divide each side by '3'. v = -8 Simplifying v = -8
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