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