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Simplifying 6 + -5(5v + -8) = 171 Reorder the terms: 6 + -5(-8 + 5v) = 171 6 + (-8 * -5 + 5v * -5) = 171 6 + (40 + -25v) = 171 Combine like terms: 6 + 40 = 46 46 + -25v = 171 Solving 46 + -25v = 171 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -25v = 171 + -46 Combine like terms: 46 + -46 = 0 0 + -25v = 171 + -46 -25v = 171 + -46 Combine like terms: 171 + -46 = 125 -25v = 125 Divide each side by '-25'. v = -5 Simplifying v = -5
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