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Simplifying -20.5 + 5.5v = 8.5(4v + -3) Reorder the terms: -20.5 + 5.5v = 8.5(-3 + 4v) -20.5 + 5.5v = (-3 * 8.5 + 4v * 8.5) -20.5 + 5.5v = (-25.5 + 34v) Solving -20.5 + 5.5v = -25.5 + 34v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-34v' to each side of the equation. -20.5 + 5.5v + -34v = -25.5 + 34v + -34v Combine like terms: 5.5v + -34v = -28.5v -20.5 + -28.5v = -25.5 + 34v + -34v Combine like terms: 34v + -34v = 0 -20.5 + -28.5v = -25.5 + 0 -20.5 + -28.5v = -25.5 Add '20.5' to each side of the equation. -20.5 + 20.5 + -28.5v = -25.5 + 20.5 Combine like terms: -20.5 + 20.5 = 0.0 0.0 + -28.5v = -25.5 + 20.5 -28.5v = -25.5 + 20.5 Combine like terms: -25.5 + 20.5 = -5 -28.5v = -5 Divide each side by '-28.5'. v = 0.1754385965 Simplifying v = 0.1754385965
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