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Simplifying v + 8 = -3v + 12 Reorder the terms: 8 + v = -3v + 12 Reorder the terms: 8 + v = 12 + -3v Solving 8 + 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. 8 + v + 3v = 12 + -3v + 3v Combine like terms: v + 3v = 4v 8 + 4v = 12 + -3v + 3v Combine like terms: -3v + 3v = 0 8 + 4v = 12 + 0 8 + 4v = 12 Add '-8' to each side of the equation. 8 + -8 + 4v = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4v = 12 + -8 4v = 12 + -8 Combine like terms: 12 + -8 = 4 4v = 4 Divide each side by '4'. v = 1 Simplifying v = 1
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