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Simplifying -5(4v + -7) = 32 + -3v Reorder the terms: -5(-7 + 4v) = 32 + -3v (-7 * -5 + 4v * -5) = 32 + -3v (35 + -20v) = 32 + -3v Solving 35 + -20v = 32 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 35 + -20v + 3v = 32 + -3v + 3v Combine like terms: -20v + 3v = -17v 35 + -17v = 32 + -3v + 3v Combine like terms: -3v + 3v = 0 35 + -17v = 32 + 0 35 + -17v = 32 Add '-35' to each side of the equation. 35 + -35 + -17v = 32 + -35 Combine like terms: 35 + -35 = 0 0 + -17v = 32 + -35 -17v = 32 + -35 Combine like terms: 32 + -35 = -3 -17v = -3 Divide each side by '-17'. v = 0.1764705882 Simplifying v = 0.1764705882
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