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Simplifying 2v + -3 + 2(2v + 3) = -3(v + 3) Reorder the terms: 2v + -3 + 2(3 + 2v) = -3(v + 3) 2v + -3 + (3 * 2 + 2v * 2) = -3(v + 3) 2v + -3 + (6 + 4v) = -3(v + 3) Reorder the terms: -3 + 6 + 2v + 4v = -3(v + 3) Combine like terms: -3 + 6 = 3 3 + 2v + 4v = -3(v + 3) Combine like terms: 2v + 4v = 6v 3 + 6v = -3(v + 3) Reorder the terms: 3 + 6v = -3(3 + v) 3 + 6v = (3 * -3 + v * -3) 3 + 6v = (-9 + -3v) Solving 3 + 6v = -9 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 3 + 6v + 3v = -9 + -3v + 3v Combine like terms: 6v + 3v = 9v 3 + 9v = -9 + -3v + 3v Combine like terms: -3v + 3v = 0 3 + 9v = -9 + 0 3 + 9v = -9 Add '-3' to each side of the equation. 3 + -3 + 9v = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 9v = -9 + -3 9v = -9 + -3 Combine like terms: -9 + -3 = -12 9v = -12 Divide each side by '9'. v = -1.333333333 Simplifying v = -1.333333333
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