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Simplifying -17 = 8(v + 2) + 3v Reorder the terms: -17 = 8(2 + v) + 3v -17 = (2 * 8 + v * 8) + 3v -17 = (16 + 8v) + 3v Combine like terms: 8v + 3v = 11v -17 = 16 + 11v Solving -17 = 16 + 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 = 16 + 11v + -11v Combine like terms: 11v + -11v = 0 -17 + -11v = 16 + 0 -17 + -11v = 16 Add '17' to each side of the equation. -17 + 17 + -11v = 16 + 17 Combine like terms: -17 + 17 = 0 0 + -11v = 16 + 17 -11v = 16 + 17 Combine like terms: 16 + 17 = 33 -11v = 33 Divide each side by '-11'. v = -3 Simplifying v = -3
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