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Simplifying 9v + -4 + -2v = 16 + 5v + -8 Reorder the terms: -4 + 9v + -2v = 16 + 5v + -8 Combine like terms: 9v + -2v = 7v -4 + 7v = 16 + 5v + -8 Reorder the terms: -4 + 7v = 16 + -8 + 5v Combine like terms: 16 + -8 = 8 -4 + 7v = 8 + 5v Solving -4 + 7v = 8 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -4 + 7v + -5v = 8 + 5v + -5v Combine like terms: 7v + -5v = 2v -4 + 2v = 8 + 5v + -5v Combine like terms: 5v + -5v = 0 -4 + 2v = 8 + 0 -4 + 2v = 8 Add '4' to each side of the equation. -4 + 4 + 2v = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 2v = 8 + 4 2v = 8 + 4 Combine like terms: 8 + 4 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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