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Simplifying 9(-3v + -8) = -9(2v + 20) + -9 Reorder the terms: 9(-8 + -3v) = -9(2v + 20) + -9 (-8 * 9 + -3v * 9) = -9(2v + 20) + -9 (-72 + -27v) = -9(2v + 20) + -9 Reorder the terms: -72 + -27v = -9(20 + 2v) + -9 -72 + -27v = (20 * -9 + 2v * -9) + -9 -72 + -27v = (-180 + -18v) + -9 Reorder the terms: -72 + -27v = -180 + -9 + -18v Combine like terms: -180 + -9 = -189 -72 + -27v = -189 + -18v Solving -72 + -27v = -189 + -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. -72 + -27v + 18v = -189 + -18v + 18v Combine like terms: -27v + 18v = -9v -72 + -9v = -189 + -18v + 18v Combine like terms: -18v + 18v = 0 -72 + -9v = -189 + 0 -72 + -9v = -189 Add '72' to each side of the equation. -72 + 72 + -9v = -189 + 72 Combine like terms: -72 + 72 = 0 0 + -9v = -189 + 72 -9v = -189 + 72 Combine like terms: -189 + 72 = -117 -9v = -117 Divide each side by '-9'. v = 13 Simplifying v = 13
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