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Simplifying 10 + 9v + -2v = -10 + 5v Combine like terms: 9v + -2v = 7v 10 + 7v = -10 + 5v Solving 10 + 7v = -10 + 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. 10 + 7v + -5v = -10 + 5v + -5v Combine like terms: 7v + -5v = 2v 10 + 2v = -10 + 5v + -5v Combine like terms: 5v + -5v = 0 10 + 2v = -10 + 0 10 + 2v = -10 Add '-10' to each side of the equation. 10 + -10 + 2v = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 2v = -10 + -10 2v = -10 + -10 Combine like terms: -10 + -10 = -20 2v = -20 Divide each side by '2'. v = -10 Simplifying v = -10
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