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Simplifying 2 + -9(1 + -8v) = 32 2 + (1 * -9 + -8v * -9) = 32 2 + (-9 + 72v) = 32 Combine like terms: 2 + -9 = -7 -7 + 72v = 32 Solving -7 + 72v = 32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 72v = 32 + 7 Combine like terms: -7 + 7 = 0 0 + 72v = 32 + 7 72v = 32 + 7 Combine like terms: 32 + 7 = 39 72v = 39 Divide each side by '72'. v = 0.5416666667 Simplifying v = 0.5416666667
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