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Simplifying 12 = (v + -2) + -6v Reorder the terms: 12 = (-2 + v) + -6v Remove parenthesis around (-2 + v) 12 = -2 + v + -6v Combine like terms: v + -6v = -5v 12 = -2 + -5v Solving 12 = -2 + -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. 12 + 5v = -2 + -5v + 5v Combine like terms: -5v + 5v = 0 12 + 5v = -2 + 0 12 + 5v = -2 Add '-12' to each side of the equation. 12 + -12 + 5v = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 5v = -2 + -12 5v = -2 + -12 Combine like terms: -2 + -12 = -14 5v = -14 Divide each side by '5'. v = -2.8 Simplifying v = -2.8
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