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Simplifying 3 + 7v = 8 + 4v + -2V Reorder the terms: 3 + 7v = 8 + -2V + 4v Solving 3 + 7v = 8 + -2V + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 3 + 7v + -4v = 8 + -2V + 4v + -4v Combine like terms: 7v + -4v = 3v 3 + 3v = 8 + -2V + 4v + -4v Combine like terms: 4v + -4v = 0 3 + 3v = 8 + -2V + 0 3 + 3v = 8 + -2V Add '-3' to each side of the equation. 3 + -3 + 3v = 8 + -3 + -2V Combine like terms: 3 + -3 = 0 0 + 3v = 8 + -3 + -2V 3v = 8 + -3 + -2V Combine like terms: 8 + -3 = 5 3v = 5 + -2V Divide each side by '3'. v = 1.666666667 + -0.6666666667V Simplifying v = 1.666666667 + -0.6666666667V
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