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Simplifying -38 = 7v + 7 + -12v Reorder the terms: -38 = 7 + 7v + -12v Combine like terms: 7v + -12v = -5v -38 = 7 + -5v Solving -38 = 7 + -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. -38 + 5v = 7 + -5v + 5v Combine like terms: -5v + 5v = 0 -38 + 5v = 7 + 0 -38 + 5v = 7 Add '38' to each side of the equation. -38 + 38 + 5v = 7 + 38 Combine like terms: -38 + 38 = 0 0 + 5v = 7 + 38 5v = 7 + 38 Combine like terms: 7 + 38 = 45 5v = 45 Divide each side by '5'. v = 9 Simplifying v = 9
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