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Simplifying 3(v + -9) = -2v + -22 Reorder the terms: 3(-9 + v) = -2v + -22 (-9 * 3 + v * 3) = -2v + -22 (-27 + 3v) = -2v + -22 Reorder the terms: -27 + 3v = -22 + -2v Solving -27 + 3v = -22 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -27 + 3v + 2v = -22 + -2v + 2v Combine like terms: 3v + 2v = 5v -27 + 5v = -22 + -2v + 2v Combine like terms: -2v + 2v = 0 -27 + 5v = -22 + 0 -27 + 5v = -22 Add '27' to each side of the equation. -27 + 27 + 5v = -22 + 27 Combine like terms: -27 + 27 = 0 0 + 5v = -22 + 27 5v = -22 + 27 Combine like terms: -22 + 27 = 5 5v = 5 Divide each side by '5'. v = 1 Simplifying v = 1
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