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Simplifying 1 + 2v = 9 + -7v + 8v Combine like terms: -7v + 8v = 1v 1 + 2v = 9 + 1v Solving 1 + 2v = 9 + 1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 1 + 2v + -1v = 9 + 1v + -1v Combine like terms: 2v + -1v = 1v 1 + 1v = 9 + 1v + -1v Combine like terms: 1v + -1v = 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 = 8 1v = 8 Divide each side by '1'. v = 8 Simplifying v = 8
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