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Simplifying 9 + 2(2v + -9) = -3(3v + -2) + 7v Reorder the terms: 9 + 2(-9 + 2v) = -3(3v + -2) + 7v 9 + (-9 * 2 + 2v * 2) = -3(3v + -2) + 7v 9 + (-18 + 4v) = -3(3v + -2) + 7v Combine like terms: 9 + -18 = -9 -9 + 4v = -3(3v + -2) + 7v Reorder the terms: -9 + 4v = -3(-2 + 3v) + 7v -9 + 4v = (-2 * -3 + 3v * -3) + 7v -9 + 4v = (6 + -9v) + 7v Combine like terms: -9v + 7v = -2v -9 + 4v = 6 + -2v Solving -9 + 4v = 6 + -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 = 6 + -2v + 2v Combine like terms: 4v + 2v = 6v -9 + 6v = 6 + -2v + 2v Combine like terms: -2v + 2v = 0 -9 + 6v = 6 + 0 -9 + 6v = 6 Add '9' to each side of the equation. -9 + 9 + 6v = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 6v = 6 + 9 6v = 6 + 9 Combine like terms: 6 + 9 = 15 6v = 15 Divide each side by '6'. v = 2.5 Simplifying v = 2.5
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