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Simplifying v + 7 + 3 = 13 + -5v + -6 + 3v Reorder the terms: 7 + 3 + v = 13 + -5v + -6 + 3v Combine like terms: 7 + 3 = 10 10 + v = 13 + -5v + -6 + 3v Reorder the terms: 10 + v = 13 + -6 + -5v + 3v Combine like terms: 13 + -6 = 7 10 + v = 7 + -5v + 3v Combine like terms: -5v + 3v = -2v 10 + v = 7 + -2v Solving 10 + v = 7 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 10 + v + 2v = 7 + -2v + 2v Combine like terms: v + 2v = 3v 10 + 3v = 7 + -2v + 2v Combine like terms: -2v + 2v = 0 10 + 3v = 7 + 0 10 + 3v = 7 Add '-10' to each side of the equation. 10 + -10 + 3v = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 3v = 7 + -10 3v = 7 + -10 Combine like terms: 7 + -10 = -3 3v = -3 Divide each side by '3'. v = -1 Simplifying v = -1
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