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Simplifying -17 = 4v + 5(v + -7) Reorder the terms: -17 = 4v + 5(-7 + v) -17 = 4v + (-7 * 5 + v * 5) -17 = 4v + (-35 + 5v) Reorder the terms: -17 = -35 + 4v + 5v Combine like terms: 4v + 5v = 9v -17 = -35 + 9v Solving -17 = -35 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -17 + -9v = -35 + 9v + -9v Combine like terms: 9v + -9v = 0 -17 + -9v = -35 + 0 -17 + -9v = -35 Add '17' to each side of the equation. -17 + 17 + -9v = -35 + 17 Combine like terms: -17 + 17 = 0 0 + -9v = -35 + 17 -9v = -35 + 17 Combine like terms: -35 + 17 = -18 -9v = -18 Divide each side by '-9'. v = 2 Simplifying v = 2
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