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Simplifying -9v + -27 = -6(v + 8) Reorder the terms: -27 + -9v = -6(v + 8) Reorder the terms: -27 + -9v = -6(8 + v) -27 + -9v = (8 * -6 + v * -6) -27 + -9v = (-48 + -6v) Solving -27 + -9v = -48 + -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 = -48 + -6v + 6v Combine like terms: -9v + 6v = -3v -27 + -3v = -48 + -6v + 6v Combine like terms: -6v + 6v = 0 -27 + -3v = -48 + 0 -27 + -3v = -48 Add '27' to each side of the equation. -27 + 27 + -3v = -48 + 27 Combine like terms: -27 + 27 = 0 0 + -3v = -48 + 27 -3v = -48 + 27 Combine like terms: -48 + 27 = -21 -3v = -21 Divide each side by '-3'. v = 7 Simplifying v = 7
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