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Simplifying 2v + -8 + -2 = -1(12v + 4) + 7(2V + -10) Reorder the terms: -8 + -2 + 2v = -1(12v + 4) + 7(2V + -10) Combine like terms: -8 + -2 = -10 -10 + 2v = -1(12v + 4) + 7(2V + -10) Reorder the terms: -10 + 2v = -1(4 + 12v) + 7(2V + -10) -10 + 2v = (4 * -1 + 12v * -1) + 7(2V + -10) -10 + 2v = (-4 + -12v) + 7(2V + -10) Reorder the terms: -10 + 2v = -4 + -12v + 7(-10 + 2V) -10 + 2v = -4 + -12v + (-10 * 7 + 2V * 7) -10 + 2v = -4 + -12v + (-70 + 14V) Reorder the terms: -10 + 2v = -4 + -70 + 14V + -12v Combine like terms: -4 + -70 = -74 -10 + 2v = -74 + 14V + -12v Solving -10 + 2v = -74 + 14V + -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. -10 + 2v + 12v = -74 + 14V + -12v + 12v Combine like terms: 2v + 12v = 14v -10 + 14v = -74 + 14V + -12v + 12v Combine like terms: -12v + 12v = 0 -10 + 14v = -74 + 14V + 0 -10 + 14v = -74 + 14V Add '10' to each side of the equation. -10 + 10 + 14v = -74 + 10 + 14V Combine like terms: -10 + 10 = 0 0 + 14v = -74 + 10 + 14V 14v = -74 + 10 + 14V Combine like terms: -74 + 10 = -64 14v = -64 + 14V Divide each side by '14'. v = -4.571428571 + V Simplifying v = -4.571428571 + V
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