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Simplifying 1 + -2v = -8v + 3 + 5v Reorder the terms: 1 + -2v = 3 + -8v + 5v Combine like terms: -8v + 5v = -3v 1 + -2v = 3 + -3v Solving 1 + -2v = 3 + -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. 1 + -2v + 3v = 3 + -3v + 3v Combine like terms: -2v + 3v = 1v 1 + 1v = 3 + -3v + 3v Combine like terms: -3v + 3v = 0 1 + 1v = 3 + 0 1 + 1v = 3 Add '-1' to each side of the equation. 1 + -1 + 1v = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 1v = 3 + -1 1v = 3 + -1 Combine like terms: 3 + -1 = 2 1v = 2 Divide each side by '1'. v = 2 Simplifying v = 2
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