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Simplifying -20.5 + 9v = -8(7.5v + -2.5) Reorder the terms: -20.5 + 9v = -8(-2.5 + 7.5v) -20.5 + 9v = (-2.5 * -8 + 7.5v * -8) -20.5 + 9v = (20 + -60v) Solving -20.5 + 9v = 20 + -60v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '60v' to each side of the equation. -20.5 + 9v + 60v = 20 + -60v + 60v Combine like terms: 9v + 60v = 69v -20.5 + 69v = 20 + -60v + 60v Combine like terms: -60v + 60v = 0 -20.5 + 69v = 20 + 0 -20.5 + 69v = 20 Add '20.5' to each side of the equation. -20.5 + 20.5 + 69v = 20 + 20.5 Combine like terms: -20.5 + 20.5 = 0.0 0.0 + 69v = 20 + 20.5 69v = 20 + 20.5 Combine like terms: 20 + 20.5 = 40.5 69v = 40.5 Divide each side by '69'. v = 0.5869565217 Simplifying v = 0.5869565217
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