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Simplifying -3v + -6(8v + -6) = -6(3v + -6) Reorder the terms: -3v + -6(-6 + 8v) = -6(3v + -6) -3v + (-6 * -6 + 8v * -6) = -6(3v + -6) -3v + (36 + -48v) = -6(3v + -6) Reorder the terms: 36 + -3v + -48v = -6(3v + -6) Combine like terms: -3v + -48v = -51v 36 + -51v = -6(3v + -6) Reorder the terms: 36 + -51v = -6(-6 + 3v) 36 + -51v = (-6 * -6 + 3v * -6) 36 + -51v = (36 + -18v) Add '-36' to each side of the equation. 36 + -36 + -51v = 36 + -36 + -18v Combine like terms: 36 + -36 = 0 0 + -51v = 36 + -36 + -18v -51v = 36 + -36 + -18v Combine like terms: 36 + -36 = 0 -51v = 0 + -18v -51v = -18v Solving -51v = -18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18v' to each side of the equation. -51v + 18v = -18v + 18v Combine like terms: -51v + 18v = -33v -33v = -18v + 18v Combine like terms: -18v + 18v = 0 -33v = 0 Divide each side by '-33'. v = 0 Simplifying v = 0
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