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Simplifying 3(2v + -9) = 15 Reorder the terms: 3(-9 + 2v) = 15 (-9 * 3 + 2v * 3) = 15 (-27 + 6v) = 15 Solving -27 + 6v = 15 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 6v = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 6v = 15 + 27 6v = 15 + 27 Combine like terms: 15 + 27 = 42 6v = 42 Divide each side by '6'. v = 7 Simplifying v = 7
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