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Simplifying 2v + 30 = 8v + -30 Reorder the terms: 30 + 2v = 8v + -30 Reorder the terms: 30 + 2v = -30 + 8v Solving 30 + 2v = -30 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 30 + 2v + -8v = -30 + 8v + -8v Combine like terms: 2v + -8v = -6v 30 + -6v = -30 + 8v + -8v Combine like terms: 8v + -8v = 0 30 + -6v = -30 + 0 30 + -6v = -30 Add '-30' to each side of the equation. 30 + -30 + -6v = -30 + -30 Combine like terms: 30 + -30 = 0 0 + -6v = -30 + -30 -6v = -30 + -30 Combine like terms: -30 + -30 = -60 -6v = -60 Divide each side by '-6'. v = 10 Simplifying v = 10
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