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Simplifying -6(3 + -3v) = -9(2v + -30) (3 * -6 + -3v * -6) = -9(2v + -30) (-18 + 18v) = -9(2v + -30) Reorder the terms: -18 + 18v = -9(-30 + 2v) -18 + 18v = (-30 * -9 + 2v * -9) -18 + 18v = (270 + -18v) Solving -18 + 18v = 270 + -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. -18 + 18v + 18v = 270 + -18v + 18v Combine like terms: 18v + 18v = 36v -18 + 36v = 270 + -18v + 18v Combine like terms: -18v + 18v = 0 -18 + 36v = 270 + 0 -18 + 36v = 270 Add '18' to each side of the equation. -18 + 18 + 36v = 270 + 18 Combine like terms: -18 + 18 = 0 0 + 36v = 270 + 18 36v = 270 + 18 Combine like terms: 270 + 18 = 288 36v = 288 Divide each side by '36'. v = 8 Simplifying v = 8
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