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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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