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Simplifying 9 = -1v + 2 + 8v Reorder the terms: 9 = 2 + -1v + 8v Combine like terms: -1v + 8v = 7v 9 = 2 + 7v Solving 9 = 2 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 9 + -7v = 2 + 7v + -7v Combine like terms: 7v + -7v = 0 9 + -7v = 2 + 0 9 + -7v = 2 Add '-9' to each side of the equation. 9 + -9 + -7v = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -7v = 2 + -9 -7v = 2 + -9 Combine like terms: 2 + -9 = -7 -7v = -7 Divide each side by '-7'. v = 1 Simplifying v = 1
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