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Simplifying -13 + -2v = v + 7 + -5 Reorder the terms: -13 + -2v = 7 + -5 + v Combine like terms: 7 + -5 = 2 -13 + -2v = 2 + v Solving -13 + -2v = 2 + 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. -13 + -2v + -1v = 2 + v + -1v Combine like terms: -2v + -1v = -3v -13 + -3v = 2 + v + -1v Combine like terms: v + -1v = 0 -13 + -3v = 2 + 0 -13 + -3v = 2 Add '13' to each side of the equation. -13 + 13 + -3v = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -3v = 2 + 13 -3v = 2 + 13 Combine like terms: 2 + 13 = 15 -3v = 15 Divide each side by '-3'. v = -5 Simplifying v = -5
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