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Simplifying 9v + 7 = 8v + 1 Reorder the terms: 7 + 9v = 8v + 1 Reorder the terms: 7 + 9v = 1 + 8v Solving 7 + 9v = 1 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 7 + 9v + -8v = 1 + 8v + -8v Combine like terms: 9v + -8v = 1v 7 + 1v = 1 + 8v + -8v Combine like terms: 8v + -8v = 0 7 + 1v = 1 + 0 7 + 1v = 1 Add '-7' to each side of the equation. 7 + -7 + 1v = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 1v = 1 + -7 1v = 1 + -7 Combine like terms: 1 + -7 = -6 1v = -6 Divide each side by '1'. v = -6 Simplifying v = -6
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