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