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Simplifying 9v + -17 = 4(v + 7) Reorder the terms: -17 + 9v = 4(v + 7) Reorder the terms: -17 + 9v = 4(7 + v) -17 + 9v = (7 * 4 + v * 4) -17 + 9v = (28 + 4v) Solving -17 + 9v = 28 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -17 + 9v + -4v = 28 + 4v + -4v Combine like terms: 9v + -4v = 5v -17 + 5v = 28 + 4v + -4v Combine like terms: 4v + -4v = 0 -17 + 5v = 28 + 0 -17 + 5v = 28 Add '17' to each side of the equation. -17 + 17 + 5v = 28 + 17 Combine like terms: -17 + 17 = 0 0 + 5v = 28 + 17 5v = 28 + 17 Combine like terms: 28 + 17 = 45 5v = 45 Divide each side by '5'. v = 9 Simplifying v = 9
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