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Simplifying 12v + 12 + -5 = 1 + 6v Reorder the terms: 12 + -5 + 12v = 1 + 6v Combine like terms: 12 + -5 = 7 7 + 12v = 1 + 6v Solving 7 + 12v = 1 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 7 + 12v + -6v = 1 + 6v + -6v Combine like terms: 12v + -6v = 6v 7 + 6v = 1 + 6v + -6v Combine like terms: 6v + -6v = 0 7 + 6v = 1 + 0 7 + 6v = 1 Add '-7' to each side of the equation. 7 + -7 + 6v = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 6v = 1 + -7 6v = 1 + -7 Combine like terms: 1 + -7 = -6 6v = -6 Divide each side by '6'. v = -1 Simplifying v = -1
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