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Simplifying 7v + -35 = 9v + -81 Reorder the terms: -35 + 7v = 9v + -81 Reorder the terms: -35 + 7v = -81 + 9v Solving -35 + 7v = -81 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -35 + 7v + -9v = -81 + 9v + -9v Combine like terms: 7v + -9v = -2v -35 + -2v = -81 + 9v + -9v Combine like terms: 9v + -9v = 0 -35 + -2v = -81 + 0 -35 + -2v = -81 Add '35' to each side of the equation. -35 + 35 + -2v = -81 + 35 Combine like terms: -35 + 35 = 0 0 + -2v = -81 + 35 -2v = -81 + 35 Combine like terms: -81 + 35 = -46 -2v = -46 Divide each side by '-2'. v = 23 Simplifying v = 23
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