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Simplifying -2(3v + -1) + 3v = 2 + 3(2v + -1) Reorder the terms: -2(-1 + 3v) + 3v = 2 + 3(2v + -1) (-1 * -2 + 3v * -2) + 3v = 2 + 3(2v + -1) (2 + -6v) + 3v = 2 + 3(2v + -1) Combine like terms: -6v + 3v = -3v 2 + -3v = 2 + 3(2v + -1) Reorder the terms: 2 + -3v = 2 + 3(-1 + 2v) 2 + -3v = 2 + (-1 * 3 + 2v * 3) 2 + -3v = 2 + (-3 + 6v) Combine like terms: 2 + -3 = -1 2 + -3v = -1 + 6v Solving 2 + -3v = -1 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 2 + -3v + -6v = -1 + 6v + -6v Combine like terms: -3v + -6v = -9v 2 + -9v = -1 + 6v + -6v Combine like terms: 6v + -6v = 0 2 + -9v = -1 + 0 2 + -9v = -1 Add '-2' to each side of the equation. 2 + -2 + -9v = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -9v = -1 + -2 -9v = -1 + -2 Combine like terms: -1 + -2 = -3 -9v = -3 Divide each side by '-9'. v = 0.3333333333 Simplifying v = 0.3333333333
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