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Simplifying 34 = 5(v + 2) + -2v Reorder the terms: 34 = 5(2 + v) + -2v 34 = (2 * 5 + v * 5) + -2v 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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