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Simplifying -2(3v + -6) + 6v = 4 + 6(2v + -1) Reorder the terms: -2(-6 + 3v) + 6v = 4 + 6(2v + -1) (-6 * -2 + 3v * -2) + 6v = 4 + 6(2v + -1) (12 + -6v) + 6v = 4 + 6(2v + -1) Combine like terms: -6v + 6v = 0 12 + 0 = 4 + 6(2v + -1) 12 = 4 + 6(2v + -1) Reorder the terms: 12 = 4 + 6(-1 + 2v) 12 = 4 + (-1 * 6 + 2v * 6) 12 = 4 + (-6 + 12v) Combine like terms: 4 + -6 = -2 12 = -2 + 12v Solving 12 = -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. 12 + -12v = -2 + 12v + -12v Combine like terms: 12v + -12v = 0 12 + -12v = -2 + 0 12 + -12v = -2 Add '-12' to each side of the equation. 12 + -12 + -12v = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -12v = -2 + -12 -12v = -2 + -12 Combine like terms: -2 + -12 = -14 -12v = -14 Divide each side by '-12'. v = 1.166666667 Simplifying v = 1.166666667
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