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Simplifying 9(v + -7) = -8v + 22 Reorder the terms: 9(-7 + v) = -8v + 22 (-7 * 9 + v * 9) = -8v + 22 (-63 + 9v) = -8v + 22 Reorder the terms: -63 + 9v = 22 + -8v Solving -63 + 9v = 22 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -63 + 9v + 8v = 22 + -8v + 8v Combine like terms: 9v + 8v = 17v -63 + 17v = 22 + -8v + 8v Combine like terms: -8v + 8v = 0 -63 + 17v = 22 + 0 -63 + 17v = 22 Add '63' to each side of the equation. -63 + 63 + 17v = 22 + 63 Combine like terms: -63 + 63 = 0 0 + 17v = 22 + 63 17v = 22 + 63 Combine like terms: 22 + 63 = 85 17v = 85 Divide each side by '17'. v = 5 Simplifying v = 5
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