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Simplifying -4(-5 + -7v) = 3v + -5 (-5 * -4 + -7v * -4) = 3v + -5 (20 + 28v) = 3v + -5 Reorder the terms: 20 + 28v = -5 + 3v Solving 20 + 28v = -5 + 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. 20 + 28v + -3v = -5 + 3v + -3v Combine like terms: 28v + -3v = 25v 20 + 25v = -5 + 3v + -3v Combine like terms: 3v + -3v = 0 20 + 25v = -5 + 0 20 + 25v = -5 Add '-20' to each side of the equation. 20 + -20 + 25v = -5 + -20 Combine like terms: 20 + -20 = 0 0 + 25v = -5 + -20 25v = -5 + -20 Combine like terms: -5 + -20 = -25 25v = -25 Divide each side by '25'. v = -1 Simplifying v = -1
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