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Simplifying v + 6 = 1 + 3v + -4v + -5 Reorder the terms: 6 + v = 1 + 3v + -4v + -5 Reorder the terms: 6 + v = 1 + -5 + 3v + -4v Combine like terms: 1 + -5 = -4 6 + v = -4 + 3v + -4v Combine like terms: 3v + -4v = -1v 6 + v = -4 + -1v Solving 6 + v = -4 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 6 + v + v = -4 + -1v + v Combine like terms: v + v = 2v 6 + 2v = -4 + -1v + v Combine like terms: -1v + v = 0 6 + 2v = -4 + 0 6 + 2v = -4 Add '-6' to each side of the equation. 6 + -6 + 2v = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 2v = -4 + -6 2v = -4 + -6 Combine like terms: -4 + -6 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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