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Simplifying v + 5 + 1 = v + -6v + 3v + -3 Reorder the terms: 5 + 1 + v = v + -6v + 3v + -3 Combine like terms: 5 + 1 = 6 6 + v = v + -6v + 3v + -3 Reorder the terms: 6 + v = -3 + v + -6v + 3v Combine like terms: v + -6v = -5v 6 + v = -3 + -5v + 3v Combine like terms: -5v + 3v = -2v 6 + v = -3 + -2v Solving 6 + v = -3 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 6 + v + 2v = -3 + -2v + 2v Combine like terms: v + 2v = 3v 6 + 3v = -3 + -2v + 2v Combine like terms: -2v + 2v = 0 6 + 3v = -3 + 0 6 + 3v = -3 Add '-6' to each side of the equation. 6 + -6 + 3v = -3 + -6 Combine like terms: 6 + -6 = 0 0 + 3v = -3 + -6 3v = -3 + -6 Combine like terms: -3 + -6 = -9 3v = -9 Divide each side by '3'. v = -3 Simplifying v = -3
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