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Simplifying v + 42 + -5v = 34 Reorder the terms: 42 + v + -5v = 34 Combine like terms: v + -5v = -4v 42 + -4v = 34 Solving 42 + -4v = 34 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -4v = 34 + -42 Combine like terms: 42 + -42 = 0 0 + -4v = 34 + -42 -4v = 34 + -42 Combine like terms: 34 + -42 = -8 -4v = -8 Divide each side by '-4'. v = 2 Simplifying v = 2
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