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Simplifying -6(2v + 4) = 23 Reorder the terms: -6(4 + 2v) = 23 (4 * -6 + 2v * -6) = 23 (-24 + -12v) = 23 Solving -24 + -12v = 23 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -12v = 23 + 24 Combine like terms: -24 + 24 = 0 0 + -12v = 23 + 24 -12v = 23 + 24 Combine like terms: 23 + 24 = 47 -12v = 47 Divide each side by '-12'. v = -3.916666667 Simplifying v = -3.916666667
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