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Simplifying 5(v + 4) = -2(7v + -4) + 9V Reorder the terms: 5(4 + v) = -2(7v + -4) + 9V (4 * 5 + v * 5) = -2(7v + -4) + 9V (20 + 5v) = -2(7v + -4) + 9V Reorder the terms: 20 + 5v = -2(-4 + 7v) + 9V 20 + 5v = (-4 * -2 + 7v * -2) + 9V 20 + 5v = (8 + -14v) + 9V Reorder the terms: 20 + 5v = 8 + 9V + -14v Solving 20 + 5v = 8 + 9V + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. 20 + 5v + 14v = 8 + 9V + -14v + 14v Combine like terms: 5v + 14v = 19v 20 + 19v = 8 + 9V + -14v + 14v Combine like terms: -14v + 14v = 0 20 + 19v = 8 + 9V + 0 20 + 19v = 8 + 9V Add '-20' to each side of the equation. 20 + -20 + 19v = 8 + -20 + 9V Combine like terms: 20 + -20 = 0 0 + 19v = 8 + -20 + 9V 19v = 8 + -20 + 9V Combine like terms: 8 + -20 = -12 19v = -12 + 9V Divide each side by '19'. v = -0.6315789474 + 0.4736842105V Simplifying v = -0.6315789474 + 0.4736842105V
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