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Simplifying -2(2v + -2) + 7v = 4 + 2(6v + -3) Reorder the terms: -2(-2 + 2v) + 7v = 4 + 2(6v + -3) (-2 * -2 + 2v * -2) + 7v = 4 + 2(6v + -3) (4 + -4v) + 7v = 4 + 2(6v + -3) Combine like terms: -4v + 7v = 3v 4 + 3v = 4 + 2(6v + -3) Reorder the terms: 4 + 3v = 4 + 2(-3 + 6v) 4 + 3v = 4 + (-3 * 2 + 6v * 2) 4 + 3v = 4 + (-6 + 12v) Combine like terms: 4 + -6 = -2 4 + 3v = -2 + 12v Solving 4 + 3v = -2 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 4 + 3v + -12v = -2 + 12v + -12v Combine like terms: 3v + -12v = -9v 4 + -9v = -2 + 12v + -12v Combine like terms: 12v + -12v = 0 4 + -9v = -2 + 0 4 + -9v = -2 Add '-4' to each side of the equation. 4 + -4 + -9v = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -9v = -2 + -4 -9v = -2 + -4 Combine like terms: -2 + -4 = -6 -9v = -6 Divide each side by '-9'. v = 0.6666666667 Simplifying v = 0.6666666667
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