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Simplifying 17 = 4v + 7(v + 4) Reorder the terms: 17 = 4v + 7(4 + v) 17 = 4v + (4 * 7 + v * 7) 17 = 4v + (28 + 7v) Reorder the terms: 17 = 28 + 4v + 7v Combine like terms: 4v + 7v = 11v 17 = 28 + 11v Solving 17 = 28 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 17 + -11v = 28 + 11v + -11v Combine like terms: 11v + -11v = 0 17 + -11v = 28 + 0 17 + -11v = 28 Add '-17' to each side of the equation. 17 + -17 + -11v = 28 + -17 Combine like terms: 17 + -17 = 0 0 + -11v = 28 + -17 -11v = 28 + -17 Combine like terms: 28 + -17 = 11 -11v = 11 Divide each side by '-11'. v = -1 Simplifying v = -1
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