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Simplifying 17 = -7v + 5(v + 3) Reorder the terms: 17 = -7v + 5(3 + v) 17 = -7v + (3 * 5 + v * 5) 17 = -7v + (15 + 5v) Reorder the terms: 17 = 15 + -7v + 5v Combine like terms: -7v + 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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