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Simplifying 19.5 = 6.5(5v + -8) Reorder the terms: 19.5 = 6.5(-8 + 5v) 19.5 = (-8 * 6.5 + 5v * 6.5) 19.5 = (-52 + 32.5v) Solving 19.5 = -52 + 32.5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32.5v' to each side of the equation. 19.5 + -32.5v = -52 + 32.5v + -32.5v Combine like terms: 32.5v + -32.5v = 0.0 19.5 + -32.5v = -52 + 0.0 19.5 + -32.5v = -52 Add '-19.5' to each side of the equation. 19.5 + -19.5 + -32.5v = -52 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + -32.5v = -52 + -19.5 -32.5v = -52 + -19.5 Combine like terms: -52 + -19.5 = -71.5 -32.5v = -71.5 Divide each side by '-32.5'. v = 2.2 Simplifying v = 2.2
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