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Simplifying v + -3 + -5 = 12 + 5v Reorder the terms: -3 + -5 + v = 12 + 5v Combine like terms: -3 + -5 = -8 -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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