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Simplifying 15v + 30 = 14v + 8 + 30 Reorder the terms: 30 + 15v = 14v + 8 + 30 Reorder the terms: 30 + 15v = 8 + 30 + 14v Combine like terms: 8 + 30 = 38 30 + 15v = 38 + 14v Solving 30 + 15v = 38 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 30 + 15v + -14v = 38 + 14v + -14v Combine like terms: 15v + -14v = 1v 30 + 1v = 38 + 14v + -14v Combine like terms: 14v + -14v = 0 30 + 1v = 38 + 0 30 + 1v = 38 Add '-30' to each side of the equation. 30 + -30 + 1v = 38 + -30 Combine like terms: 30 + -30 = 0 0 + 1v = 38 + -30 1v = 38 + -30 Combine like terms: 38 + -30 = 8 1v = 8 Divide each side by '1'. v = 8 Simplifying v = 8
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