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Simplifying -3v + 1 = 3v + 31 Reorder the terms: 1 + -3v = 3v + 31 Reorder the terms: 1 + -3v = 31 + 3v Solving 1 + -3v = 31 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 1 + -3v + -3v = 31 + 3v + -3v Combine like terms: -3v + -3v = -6v 1 + -6v = 31 + 3v + -3v Combine like terms: 3v + -3v = 0 1 + -6v = 31 + 0 1 + -6v = 31 Add '-1' to each side of the equation. 1 + -1 + -6v = 31 + -1 Combine like terms: 1 + -1 = 0 0 + -6v = 31 + -1 -6v = 31 + -1 Combine like terms: 31 + -1 = 30 -6v = 30 Divide each side by '-6'. v = -5 Simplifying v = -5
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