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Simplifying 17 = -8v + 3(v + 4) Reorder the terms: 17 = -8v + 3(4 + v) 17 = -8v + (4 * 3 + v * 3) 17 = -8v + (12 + 3v) Reorder the terms: 17 = 12 + -8v + 3v Combine like terms: -8v + 3v = -5v 17 = 12 + -5v Solving 17 = 12 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 17 + 5v = 12 + -5v + 5v Combine like terms: -5v + 5v = 0 17 + 5v = 12 + 0 17 + 5v = 12 Add '-17' to each side of the equation. 17 + -17 + 5v = 12 + -17 Combine like terms: 17 + -17 = 0 0 + 5v = 12 + -17 5v = 12 + -17 Combine like terms: 12 + -17 = -5 5v = -5 Divide each side by '5'. v = -1 Simplifying v = -1
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