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Simplifying -2(4v + -7) + 4v = 2(v + 9) Reorder the terms: -2(-7 + 4v) + 4v = 2(v + 9) (-7 * -2 + 4v * -2) + 4v = 2(v + 9) (14 + -8v) + 4v = 2(v + 9) Combine like terms: -8v + 4v = -4v 14 + -4v = 2(v + 9) Reorder the terms: 14 + -4v = 2(9 + v) 14 + -4v = (9 * 2 + v * 2) 14 + -4v = (18 + 2v) Solving 14 + -4v = 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. 14 + -4v + -2v = 18 + 2v + -2v Combine like terms: -4v + -2v = -6v 14 + -6v = 18 + 2v + -2v Combine like terms: 2v + -2v = 0 14 + -6v = 18 + 0 14 + -6v = 18 Add '-14' to each side of the equation. 14 + -14 + -6v = 18 + -14 Combine like terms: 14 + -14 = 0 0 + -6v = 18 + -14 -6v = 18 + -14 Combine like terms: 18 + -14 = 4 -6v = 4 Divide each side by '-6'. v = -0.6666666667 Simplifying v = -0.6666666667
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