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Simplifying 34 = 4(v + 5) + -2v Reorder the terms: 34 = 4(5 + v) + -2v 34 = (5 * 4 + v * 4) + -2v 34 = (20 + 4v) + -2v Combine like terms: 4v + -2v = 2v 34 = 20 + 2v Solving 34 = 20 + 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 = 20 + 2v + -2v Combine like terms: 2v + -2v = 0 34 + -2v = 20 + 0 34 + -2v = 20 Add '-34' to each side of the equation. 34 + -34 + -2v = 20 + -34 Combine like terms: 34 + -34 = 0 0 + -2v = 20 + -34 -2v = 20 + -34 Combine like terms: 20 + -34 = -14 -2v = -14 Divide each side by '-2'. v = 7 Simplifying v = 7
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