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Simplifying -27 = 6(v + -6) + -3v Reorder the terms: -27 = 6(-6 + v) + -3v -27 = (-6 * 6 + v * 6) + -3v -27 = (-36 + 6v) + -3v Combine like terms: 6v + -3v = 3v -27 = -36 + 3v Solving -27 = -36 + 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 = -36 + 3v + -3v Combine like terms: 3v + -3v = 0 -27 + -3v = -36 + 0 -27 + -3v = -36 Add '27' to each side of the equation. -27 + 27 + -3v = -36 + 27 Combine like terms: -27 + 27 = 0 0 + -3v = -36 + 27 -3v = -36 + 27 Combine like terms: -36 + 27 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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