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Simplifying v + -2 + 2(3v + 2) = -2(v + 2) Reorder the terms: v + -2 + 2(2 + 3v) = -2(v + 2) v + -2 + (2 * 2 + 3v * 2) = -2(v + 2) v + -2 + (4 + 6v) = -2(v + 2) Reorder the terms: -2 + 4 + v + 6v = -2(v + 2) Combine like terms: -2 + 4 = 2 2 + v + 6v = -2(v + 2) Combine like terms: v + 6v = 7v 2 + 7v = -2(v + 2) Reorder the terms: 2 + 7v = -2(2 + v) 2 + 7v = (2 * -2 + v * -2) 2 + 7v = (-4 + -2v) Solving 2 + 7v = -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. 2 + 7v + 2v = -4 + -2v + 2v Combine like terms: 7v + 2v = 9v 2 + 9v = -4 + -2v + 2v Combine like terms: -2v + 2v = 0 2 + 9v = -4 + 0 2 + 9v = -4 Add '-2' to each side of the equation. 2 + -2 + 9v = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 9v = -4 + -2 9v = -4 + -2 Combine like terms: -4 + -2 = -6 9v = -6 Divide each side by '9'. v = -0.6666666667 Simplifying v = -0.6666666667
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