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Simplifying -34 = v + 45 + -5v Reorder the terms: -34 = 45 + v + -5v Combine like terms: v + -5v = -4v -34 = 45 + -4v Solving -34 = 45 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -34 + 4v = 45 + -4v + 4v Combine like terms: -4v + 4v = 0 -34 + 4v = 45 + 0 -34 + 4v = 45 Add '34' to each side of the equation. -34 + 34 + 4v = 45 + 34 Combine like terms: -34 + 34 = 0 0 + 4v = 45 + 34 4v = 45 + 34 Combine like terms: 45 + 34 = 79 4v = 79 Divide each side by '4'. v = 19.75 Simplifying v = 19.75
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