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Simplifying 5 + -12v = 10 + -7v Solving 5 + -12v = 10 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 5 + -12v + 7v = 10 + -7v + 7v Combine like terms: -12v + 7v = -5v 5 + -5v = 10 + -7v + 7v Combine like terms: -7v + 7v = 0 5 + -5v = 10 + 0 5 + -5v = 10 Add '-5' to each side of the equation. 5 + -5 + -5v = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -5v = 10 + -5 -5v = 10 + -5 Combine like terms: 10 + -5 = 5 -5v = 5 Divide each side by '-5'. v = -1 Simplifying v = -1
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