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Simplifying 12v + -7 = 5v + 49 Reorder the terms: -7 + 12v = 5v + 49 Reorder the terms: -7 + 12v = 49 + 5v Solving -7 + 12v = 49 + 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. -7 + 12v + -5v = 49 + 5v + -5v Combine like terms: 12v + -5v = 7v -7 + 7v = 49 + 5v + -5v Combine like terms: 5v + -5v = 0 -7 + 7v = 49 + 0 -7 + 7v = 49 Add '7' to each side of the equation. -7 + 7 + 7v = 49 + 7 Combine like terms: -7 + 7 = 0 0 + 7v = 49 + 7 7v = 49 + 7 Combine like terms: 49 + 7 = 56 7v = 56 Divide each side by '7'. v = 8 Simplifying v = 8
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