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Simplifying 2v + -2 + 8 = 12v + -24 Reorder the terms: -2 + 8 + 2v = 12v + -24 Combine like terms: -2 + 8 = 6 6 + 2v = 12v + -24 Reorder the terms: 6 + 2v = -24 + 12v Solving 6 + 2v = -24 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 6 + 2v + -12v = -24 + 12v + -12v Combine like terms: 2v + -12v = -10v 6 + -10v = -24 + 12v + -12v Combine like terms: 12v + -12v = 0 6 + -10v = -24 + 0 6 + -10v = -24 Add '-6' to each side of the equation. 6 + -6 + -10v = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -10v = -24 + -6 -10v = -24 + -6 Combine like terms: -24 + -6 = -30 -10v = -30 Divide each side by '-10'. v = 3 Simplifying v = 3
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