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Simplifying 4v + -9 = 2v + 1 Reorder the terms: -9 + 4v = 2v + 1 Reorder the terms: -9 + 4v = 1 + 2v Solving -9 + 4v = 1 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -9 + 4v + -2v = 1 + 2v + -2v Combine like terms: 4v + -2v = 2v -9 + 2v = 1 + 2v + -2v Combine like terms: 2v + -2v = 0 -9 + 2v = 1 + 0 -9 + 2v = 1 Add '9' to each side of the equation. -9 + 9 + 2v = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 2v = 1 + 9 2v = 1 + 9 Combine like terms: 1 + 9 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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