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Simplifying 9(v + -3) = 6v + -24 Reorder the terms: 9(-3 + v) = 6v + -24 (-3 * 9 + v * 9) = 6v + -24 (-27 + 9v) = 6v + -24 Reorder the terms: -27 + 9v = -24 + 6v Solving -27 + 9v = -24 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -27 + 9v + -6v = -24 + 6v + -6v Combine like terms: 9v + -6v = 3v -27 + 3v = -24 + 6v + -6v Combine like terms: 6v + -6v = 0 -27 + 3v = -24 + 0 -27 + 3v = -24 Add '27' to each side of the equation. -27 + 27 + 3v = -24 + 27 Combine like terms: -27 + 27 = 0 0 + 3v = -24 + 27 3v = -24 + 27 Combine like terms: -24 + 27 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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