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Simplifying -17 = 3(v + -5) + -5v Reorder the terms: -17 = 3(-5 + v) + -5v -17 = (-5 * 3 + v * 3) + -5v -17 = (-15 + 3v) + -5v Combine like terms: 3v + -5v = -2v -17 = -15 + -2v Solving -17 = -15 + -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. -17 + 2v = -15 + -2v + 2v Combine like terms: -2v + 2v = 0 -17 + 2v = -15 + 0 -17 + 2v = -15 Add '17' to each side of the equation. -17 + 17 + 2v = -15 + 17 Combine like terms: -17 + 17 = 0 0 + 2v = -15 + 17 2v = -15 + 17 Combine like terms: -15 + 17 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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