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Simplifying 13v + 15 = 22v + -75 Reorder the terms: 15 + 13v = 22v + -75 Reorder the terms: 15 + 13v = -75 + 22v Solving 15 + 13v = -75 + 22v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-22v' to each side of the equation. 15 + 13v + -22v = -75 + 22v + -22v Combine like terms: 13v + -22v = -9v 15 + -9v = -75 + 22v + -22v Combine like terms: 22v + -22v = 0 15 + -9v = -75 + 0 15 + -9v = -75 Add '-15' to each side of the equation. 15 + -15 + -9v = -75 + -15 Combine like terms: 15 + -15 = 0 0 + -9v = -75 + -15 -9v = -75 + -15 Combine like terms: -75 + -15 = -90 -9v = -90 Divide each side by '-9'. v = 10 Simplifying v = 10
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