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Simplifying v + 4 = 3v + 12 Reorder the terms: 4 + v = 3v + 12 Reorder the terms: 4 + v = 12 + 3v Solving 4 + v = 12 + 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. 4 + v + -3v = 12 + 3v + -3v Combine like terms: v + -3v = -2v 4 + -2v = 12 + 3v + -3v Combine like terms: 3v + -3v = 0 4 + -2v = 12 + 0 4 + -2v = 12 Add '-4' to each side of the equation. 4 + -4 + -2v = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -2v = 12 + -4 -2v = 12 + -4 Combine like terms: 12 + -4 = 8 -2v = 8 Divide each side by '-2'. v = -4 Simplifying v = -4
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