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Simplifying -17 = 4(v + -5) + -7v Reorder the terms: -17 = 4(-5 + v) + -7v -17 = (-5 * 4 + v * 4) + -7v -17 = (-20 + 4v) + -7v Combine like terms: 4v + -7v = -3v -17 = -20 + -3v Solving -17 = -20 + -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. -17 + 3v = -20 + -3v + 3v Combine like terms: -3v + 3v = 0 -17 + 3v = -20 + 0 -17 + 3v = -20 Add '17' to each side of the equation. -17 + 17 + 3v = -20 + 17 Combine like terms: -17 + 17 = 0 0 + 3v = -20 + 17 3v = -20 + 17 Combine like terms: -20 + 17 = -3 3v = -3 Divide each side by '3'. v = -1 Simplifying v = -1
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