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Simplifying (7v + -4) = (5v + 6) Reorder the terms: (-4 + 7v) = (5v + 6) Remove parenthesis around (-4 + 7v) -4 + 7v = (5v + 6) Reorder the terms: -4 + 7v = (6 + 5v) Remove parenthesis around (6 + 5v) -4 + 7v = 6 + 5v Solving -4 + 7v = 6 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -4 + 7v + -5v = 6 + 5v + -5v Combine like terms: 7v + -5v = 2v -4 + 2v = 6 + 5v + -5v Combine like terms: 5v + -5v = 0 -4 + 2v = 6 + 0 -4 + 2v = 6 Add '4' to each side of the equation. -4 + 4 + 2v = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 2v = 6 + 4 2v = 6 + 4 Combine like terms: 6 + 4 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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