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Simplifying -13 + 2v + 8v = 8v + -5 Combine like terms: 2v + 8v = 10v -13 + 10v = 8v + -5 Reorder the terms: -13 + 10v = -5 + 8v Solving -13 + 10v = -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. -13 + 10v + -8v = -5 + 8v + -8v Combine like terms: 10v + -8v = 2v -13 + 2v = -5 + 8v + -8v Combine like terms: 8v + -8v = 0 -13 + 2v = -5 + 0 -13 + 2v = -5 Add '13' to each side of the equation. -13 + 13 + 2v = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 2v = -5 + 13 2v = -5 + 13 Combine like terms: -5 + 13 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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