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Simplifying 3 + -3v + 5 + 1 = 1 + -5v Reorder the terms: 3 + 5 + 1 + -3v = 1 + -5v Combine like terms: 3 + 5 = 8 8 + 1 + -3v = 1 + -5v Combine like terms: 8 + 1 = 9 9 + -3v = 1 + -5v Solving 9 + -3v = 1 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 9 + -3v + 5v = 1 + -5v + 5v Combine like terms: -3v + 5v = 2v 9 + 2v = 1 + -5v + 5v Combine like terms: -5v + 5v = 0 9 + 2v = 1 + 0 9 + 2v = 1 Add '-9' to each side of the equation. 9 + -9 + 2v = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 2v = 1 + -9 2v = 1 + -9 Combine like terms: 1 + -9 = -8 2v = -8 Divide each side by '2'. v = -4 Simplifying v = -4
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