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Simplifying 7v + -82 = 6v + -71 Reorder the terms: -82 + 7v = 6v + -71 Reorder the terms: -82 + 7v = -71 + 6v Solving -82 + 7v = -71 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -82 + 7v + -6v = -71 + 6v + -6v Combine like terms: 7v + -6v = 1v -82 + 1v = -71 + 6v + -6v Combine like terms: 6v + -6v = 0 -82 + 1v = -71 + 0 -82 + 1v = -71 Add '82' to each side of the equation. -82 + 82 + 1v = -71 + 82 Combine like terms: -82 + 82 = 0 0 + 1v = -71 + 82 1v = -71 + 82 Combine like terms: -71 + 82 = 11 1v = 11 Divide each side by '1'. v = 11 Simplifying v = 11
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