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Simplifying 3v + 7 + -6v = 3v + -8v + 3 Reorder the terms: 7 + 3v + -6v = 3v + -8v + 3 Combine like terms: 3v + -6v = -3v 7 + -3v = 3v + -8v + 3 Reorder the terms: 7 + -3v = 3 + 3v + -8v Combine like terms: 3v + -8v = -5v 7 + -3v = 3 + -5v Solving 7 + -3v = 3 + -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. 7 + -3v + 5v = 3 + -5v + 5v Combine like terms: -3v + 5v = 2v 7 + 2v = 3 + -5v + 5v Combine like terms: -5v + 5v = 0 7 + 2v = 3 + 0 7 + 2v = 3 Add '-7' to each side of the equation. 7 + -7 + 2v = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = 3 + -7 2v = 3 + -7 Combine like terms: 3 + -7 = -4 2v = -4 Divide each side by '2'. v = -2 Simplifying v = -2
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