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Simplifying v + 8 = 5v + -12 Reorder the terms: 8 + v = 5v + -12 Reorder the terms: 8 + v = -12 + 5v Solving 8 + v = -12 + 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. 8 + v + -5v = -12 + 5v + -5v Combine like terms: v + -5v = -4v 8 + -4v = -12 + 5v + -5v Combine like terms: 5v + -5v = 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 = -20 -4v = -20 Divide each side by '-4'. v = 5 Simplifying v = 5
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