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Simplifying 9 = 1v + 5 + -5v Reorder the terms: 9 = 5 + 1v + -5v Combine like terms: 1v + -5v = -4v 9 = 5 + -4v Solving 9 = 5 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 9 + 4v = 5 + -4v + 4v Combine like terms: -4v + 4v = 0 9 + 4v = 5 + 0 9 + 4v = 5 Add '-9' to each side of the equation. 9 + -9 + 4v = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 4v = 5 + -9 4v = 5 + -9 Combine like terms: 5 + -9 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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