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Simplifying 7v + 5 = 12v + -5 Reorder the terms: 5 + 7v = 12v + -5 Reorder the terms: 5 + 7v = -5 + 12v Solving 5 + 7v = -5 + 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. 5 + 7v + -12v = -5 + 12v + -12v Combine like terms: 7v + -12v = -5v 5 + -5v = -5 + 12v + -12v Combine like terms: 12v + -12v = 0 5 + -5v = -5 + 0 5 + -5v = -5 Add '-5' to each side of the equation. 5 + -5 + -5v = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -5v = -5 + -5 -5v = -5 + -5 Combine like terms: -5 + -5 = -10 -5v = -10 Divide each side by '-5'. v = 2 Simplifying v = 2
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