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Simplifying 2v + 8 = 1 + v + -6 Reorder the terms: 8 + 2v = 1 + v + -6 Reorder the terms: 8 + 2v = 1 + -6 + v Combine like terms: 1 + -6 = -5 8 + 2v = -5 + v Solving 8 + 2v = -5 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 8 + 2v + -1v = -5 + v + -1v Combine like terms: 2v + -1v = 1v 8 + 1v = -5 + v + -1v Combine like terms: v + -1v = 0 8 + 1v = -5 + 0 8 + 1v = -5 Add '-8' to each side of the equation. 8 + -8 + 1v = -5 + -8 Combine like terms: 8 + -8 = 0 0 + 1v = -5 + -8 1v = -5 + -8 Combine like terms: -5 + -8 = -13 1v = -13 Divide each side by '1'. v = -13 Simplifying v = -13
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