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Simplifying -4(4v + -1) + 6v = 2(v + 9) Reorder the terms: -4(-1 + 4v) + 6v = 2(v + 9) (-1 * -4 + 4v * -4) + 6v = 2(v + 9) (4 + -16v) + 6v = 2(v + 9) Combine like terms: -16v + 6v = -10v 4 + -10v = 2(v + 9) Reorder the terms: 4 + -10v = 2(9 + v) 4 + -10v = (9 * 2 + v * 2) 4 + -10v = (18 + 2v) Solving 4 + -10v = 18 + 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. 4 + -10v + -2v = 18 + 2v + -2v Combine like terms: -10v + -2v = -12v 4 + -12v = 18 + 2v + -2v Combine like terms: 2v + -2v = 0 4 + -12v = 18 + 0 4 + -12v = 18 Add '-4' to each side of the equation. 4 + -4 + -12v = 18 + -4 Combine like terms: 4 + -4 = 0 0 + -12v = 18 + -4 -12v = 18 + -4 Combine like terms: 18 + -4 = 14 -12v = 14 Divide each side by '-12'. v = -1.166666667 Simplifying v = -1.166666667
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