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Simplifying -4v + 13v + 5 = 6v + 32 Reorder the terms: 5 + -4v + 13v = 6v + 32 Combine like terms: -4v + 13v = 9v 5 + 9v = 6v + 32 Reorder the terms: 5 + 9v = 32 + 6v Solving 5 + 9v = 32 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 5 + 9v + -6v = 32 + 6v + -6v Combine like terms: 9v + -6v = 3v 5 + 3v = 32 + 6v + -6v Combine like terms: 6v + -6v = 0 5 + 3v = 32 + 0 5 + 3v = 32 Add '-5' to each side of the equation. 5 + -5 + 3v = 32 + -5 Combine like terms: 5 + -5 = 0 0 + 3v = 32 + -5 3v = 32 + -5 Combine like terms: 32 + -5 = 27 3v = 27 Divide each side by '3'. v = 9 Simplifying v = 9
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