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Simplifying 8(5 + -6v) = -200 (5 * 8 + -6v * 8) = -200 (40 + -48v) = -200 Solving 40 + -48v = -200 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -48v = -200 + -40 Combine like terms: 40 + -40 = 0 0 + -48v = -200 + -40 -48v = -200 + -40 Combine like terms: -200 + -40 = -240 -48v = -240 Divide each side by '-48'. v = 5 Simplifying v = 5
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