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Simplifying -9v + 27 = -6(v + -2) Reorder the terms: 27 + -9v = -6(v + -2) Reorder the terms: 27 + -9v = -6(-2 + v) 27 + -9v = (-2 * -6 + v * -6) 27 + -9v = (12 + -6v) Solving 27 + -9v = 12 + -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 = 12 + -6v + 6v Combine like terms: -9v + 6v = -3v 27 + -3v = 12 + -6v + 6v Combine like terms: -6v + 6v = 0 27 + -3v = 12 + 0 27 + -3v = 12 Add '-27' to each side of the equation. 27 + -27 + -3v = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -3v = 12 + -27 -3v = 12 + -27 Combine like terms: 12 + -27 = -15 -3v = -15 Divide each side by '-3'. v = 5 Simplifying v = 5
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