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Simplifying -4(3v + -5) = 27 + 2v Reorder the terms: -4(-5 + 3v) = 27 + 2v (-5 * -4 + 3v * -4) = 27 + 2v (20 + -12v) = 27 + 2v Solving 20 + -12v = 27 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 20 + -12v + -2v = 27 + 2v + -2v Combine like terms: -12v + -2v = -14v 20 + -14v = 27 + 2v + -2v Combine like terms: 2v + -2v = 0 20 + -14v = 27 + 0 20 + -14v = 27 Add '-20' to each side of the equation. 20 + -20 + -14v = 27 + -20 Combine like terms: 20 + -20 = 0 0 + -14v = 27 + -20 -14v = 27 + -20 Combine like terms: 27 + -20 = 7 -14v = 7 Divide each side by '-14'. v = -0.5 Simplifying v = -0.5
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