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Simplifying 2(2v + 3) + -1 = 9 + 2v Reorder the terms: 2(3 + 2v) + -1 = 9 + 2v (3 * 2 + 2v * 2) + -1 = 9 + 2v (6 + 4v) + -1 = 9 + 2v Reorder the terms: 6 + -1 + 4v = 9 + 2v Combine like terms: 6 + -1 = 5 5 + 4v = 9 + 2v Solving 5 + 4v = 9 + 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. 5 + 4v + -2v = 9 + 2v + -2v Combine like terms: 4v + -2v = 2v 5 + 2v = 9 + 2v + -2v Combine like terms: 2v + -2v = 0 5 + 2v = 9 + 0 5 + 2v = 9 Add '-5' to each side of the equation. 5 + -5 + 2v = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 2v = 9 + -5 2v = 9 + -5 Combine like terms: 9 + -5 = 4 2v = 4 Divide each side by '2'. v = 2 Simplifying v = 2
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