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Simplifying 6 + -4v + -2 = -12 + 4v Reorder the terms: 6 + -2 + -4v = -12 + 4v Combine like terms: 6 + -2 = 4 4 + -4v = -12 + 4v Solving 4 + -4v = -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. 4 + -4v + -4v = -12 + 4v + -4v Combine like terms: -4v + -4v = -8v 4 + -8v = -12 + 4v + -4v Combine like terms: 4v + -4v = 0 4 + -8v = -12 + 0 4 + -8v = -12 Add '-4' to each side of the equation. 4 + -4 + -8v = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -8v = -12 + -4 -8v = -12 + -4 Combine like terms: -12 + -4 = -16 -8v = -16 Divide each side by '-8'. v = 2 Simplifying v = 2
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