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Simplifying -3 + 12v + 6 = 7v + 30 Reorder the terms: -3 + 6 + 12v = 7v + 30 Combine like terms: -3 + 6 = 3 3 + 12v = 7v + 30 Reorder the terms: 3 + 12v = 30 + 7v Solving 3 + 12v = 30 + 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. 3 + 12v + -7v = 30 + 7v + -7v Combine like terms: 12v + -7v = 5v 3 + 5v = 30 + 7v + -7v Combine like terms: 7v + -7v = 0 3 + 5v = 30 + 0 3 + 5v = 30 Add '-3' to each side of the equation. 3 + -3 + 5v = 30 + -3 Combine like terms: 3 + -3 = 0 0 + 5v = 30 + -3 5v = 30 + -3 Combine like terms: 30 + -3 = 27 5v = 27 Divide each side by '5'. v = 5.4 Simplifying v = 5.4
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