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Simplifying -8(v + -7) = 9v + 22 Reorder the terms: -8(-7 + v) = 9v + 22 (-7 * -8 + v * -8) = 9v + 22 (56 + -8v) = 9v + 22 Reorder the terms: 56 + -8v = 22 + 9v Solving 56 + -8v = 22 + 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. 56 + -8v + -9v = 22 + 9v + -9v Combine like terms: -8v + -9v = -17v 56 + -17v = 22 + 9v + -9v Combine like terms: 9v + -9v = 0 56 + -17v = 22 + 0 56 + -17v = 22 Add '-56' to each side of the equation. 56 + -56 + -17v = 22 + -56 Combine like terms: 56 + -56 = 0 0 + -17v = 22 + -56 -17v = 22 + -56 Combine like terms: 22 + -56 = -34 -17v = -34 Divide each side by '-17'. v = 2 Simplifying v = 2
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