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Simplifying v + -3 = 4v + 12 Reorder the terms: -3 + v = 4v + 12 Reorder the terms: -3 + v = 12 + 4v Solving -3 + v = 12 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -3 + v + -4v = 12 + 4v + -4v Combine like terms: v + -4v = -3v -3 + -3v = 12 + 4v + -4v Combine like terms: 4v + -4v = 0 -3 + -3v = 12 + 0 -3 + -3v = 12 Add '3' to each side of the equation. -3 + 3 + -3v = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -3v = 12 + 3 -3v = 12 + 3 Combine like terms: 12 + 3 = 15 -3v = 15 Divide each side by '-3'. v = -5 Simplifying v = -5
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