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Simplifying 1 + 2v = 8v + -9 + -5v Reorder the terms: 1 + 2v = -9 + 8v + -5v Combine like terms: 8v + -5v = 3v 1 + 2v = -9 + 3v Solving 1 + 2v = -9 + 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 = -9 + 3v + -3v Combine like terms: 2v + -3v = -1v 1 + -1v = -9 + 3v + -3v Combine like terms: 3v + -3v = 0 1 + -1v = -9 + 0 1 + -1v = -9 Add '-1' to each side of the equation. 1 + -1 + -1v = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = -9 + -1 -1v = -9 + -1 Combine like terms: -9 + -1 = -10 -1v = -10 Divide each side by '-1'. v = 10 Simplifying v = 10
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