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Simplifying -5 + 4v = v + 7 + 6 Reorder the terms: -5 + 4v = 7 + 6 + v Combine like terms: 7 + 6 = 13 -5 + 4v = 13 + v Solving -5 + 4v = 13 + 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. -5 + 4v + -1v = 13 + v + -1v Combine like terms: 4v + -1v = 3v -5 + 3v = 13 + v + -1v Combine like terms: v + -1v = 0 -5 + 3v = 13 + 0 -5 + 3v = 13 Add '5' to each side of the equation. -5 + 5 + 3v = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 3v = 13 + 5 3v = 13 + 5 Combine like terms: 13 + 5 = 18 3v = 18 Divide each side by '3'. v = 6 Simplifying v = 6
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