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Simplifying -8(v + -9) = -3v + 22 Reorder the terms: -8(-9 + v) = -3v + 22 (-9 * -8 + v * -8) = -3v + 22 (72 + -8v) = -3v + 22 Reorder the terms: 72 + -8v = 22 + -3v Solving 72 + -8v = 22 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 72 + -8v + 3v = 22 + -3v + 3v Combine like terms: -8v + 3v = -5v 72 + -5v = 22 + -3v + 3v Combine like terms: -3v + 3v = 0 72 + -5v = 22 + 0 72 + -5v = 22 Add '-72' to each side of the equation. 72 + -72 + -5v = 22 + -72 Combine like terms: 72 + -72 = 0 0 + -5v = 22 + -72 -5v = 22 + -72 Combine like terms: 22 + -72 = -50 -5v = -50 Divide each side by '-5'. v = 10 Simplifying v = 10
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