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Simplifying 4v + -9 + 3(4v + 3) = -2(v + 2) Reorder the terms: 4v + -9 + 3(3 + 4v) = -2(v + 2) 4v + -9 + (3 * 3 + 4v * 3) = -2(v + 2) 4v + -9 + (9 + 12v) = -2(v + 2) Reorder the terms: -9 + 9 + 4v + 12v = -2(v + 2) Combine like terms: -9 + 9 = 0 0 + 4v + 12v = -2(v + 2) 4v + 12v = -2(v + 2) Combine like terms: 4v + 12v = 16v 16v = -2(v + 2) Reorder the terms: 16v = -2(2 + v) 16v = (2 * -2 + v * -2) 16v = (-4 + -2v) Solving 16v = -4 + -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. 16v + 2v = -4 + -2v + 2v Combine like terms: 16v + 2v = 18v 18v = -4 + -2v + 2v Combine like terms: -2v + 2v = 0 18v = -4 + 0 18v = -4 Divide each side by '18'. v = -0.2222222222 Simplifying v = -0.2222222222
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