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Simplifying 3v + 1 = 5v + -7 Reorder the terms: 1 + 3v = 5v + -7 Reorder the terms: 1 + 3v = -7 + 5v Solving 1 + 3v = -7 + 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. 1 + 3v + -5v = -7 + 5v + -5v Combine like terms: 3v + -5v = -2v 1 + -2v = -7 + 5v + -5v Combine like terms: 5v + -5v = 0 1 + -2v = -7 + 0 1 + -2v = -7 Add '-1' to each side of the equation. 1 + -1 + -2v = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = -7 + -1 -2v = -7 + -1 Combine like terms: -7 + -1 = -8 -2v = -8 Divide each side by '-2'. v = 4 Simplifying v = 4
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