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Simplifying 82 + -13v = -4v + 19 Reorder the terms: 82 + -13v = 19 + -4v Solving 82 + -13v = 19 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 82 + -13v + 4v = 19 + -4v + 4v Combine like terms: -13v + 4v = -9v 82 + -9v = 19 + -4v + 4v Combine like terms: -4v + 4v = 0 82 + -9v = 19 + 0 82 + -9v = 19 Add '-82' to each side of the equation. 82 + -82 + -9v = 19 + -82 Combine like terms: 82 + -82 = 0 0 + -9v = 19 + -82 -9v = 19 + -82 Combine like terms: 19 + -82 = -63 -9v = -63 Divide each side by '-9'. v = 7 Simplifying v = 7
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