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Simplifying -27 = 5(v + -6) + -8v Reorder the terms: -27 = 5(-6 + v) + -8v -27 = (-6 * 5 + v * 5) + -8v -27 = (-30 + 5v) + -8v Combine like terms: 5v + -8v = -3v -27 = -30 + -3v Solving -27 = -30 + -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. -27 + 3v = -30 + -3v + 3v Combine like terms: -3v + 3v = 0 -27 + 3v = -30 + 0 -27 + 3v = -30 Add '27' to each side of the equation. -27 + 27 + 3v = -30 + 27 Combine like terms: -27 + 27 = 0 0 + 3v = -30 + 27 3v = -30 + 27 Combine like terms: -30 + 27 = -3 3v = -3 Divide each side by '3'. v = -1 Simplifying v = -1
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