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Simplifying 9v = 15 + 3(2v + -1) Reorder the terms: 9v = 15 + 3(-1 + 2v) 9v = 15 + (-1 * 3 + 2v * 3) 9v = 15 + (-3 + 6v) Combine like terms: 15 + -3 = 12 9v = 12 + 6v Solving 9v = 12 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 9v + -6v = 12 + 6v + -6v Combine like terms: 9v + -6v = 3v 3v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 3v = 12 + 0 3v = 12 Divide each side by '3'. v = 4 Simplifying v = 4
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