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Simplifying 8v + 17 = 3(v + -1) Reorder the terms: 17 + 8v = 3(v + -1) Reorder the terms: 17 + 8v = 3(-1 + v) 17 + 8v = (-1 * 3 + v * 3) 17 + 8v = (-3 + 3v) Solving 17 + 8v = -3 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 17 + 8v + -3v = -3 + 3v + -3v Combine like terms: 8v + -3v = 5v 17 + 5v = -3 + 3v + -3v Combine like terms: 3v + -3v = 0 17 + 5v = -3 + 0 17 + 5v = -3 Add '-17' to each side of the equation. 17 + -17 + 5v = -3 + -17 Combine like terms: 17 + -17 = 0 0 + 5v = -3 + -17 5v = -3 + -17 Combine like terms: -3 + -17 = -20 5v = -20 Divide each side by '5'. v = -4 Simplifying v = -4
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