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Simplifying -9(2.5v + 8) = 20.5 Reorder the terms: -9(8 + 2.5v) = 20.5 (8 * -9 + 2.5v * -9) = 20.5 (-72 + -22.5v) = 20.5 Solving -72 + -22.5v = 20.5 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + -22.5v = 20.5 + 72 Combine like terms: -72 + 72 = 0 0 + -22.5v = 20.5 + 72 -22.5v = 20.5 + 72 Combine like terms: 20.5 + 72 = 92.5 -22.5v = 92.5 Divide each side by '-22.5'. v = -4.111111111 Simplifying v = -4.111111111
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