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Simplifying 8v + -17 = -3(v + 2) Reorder the terms: -17 + 8v = -3(v + 2) Reorder the terms: -17 + 8v = -3(2 + v) -17 + 8v = (2 * -3 + v * -3) -17 + 8v = (-6 + -3v) Solving -17 + 8v = -6 + -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 = -6 + -3v + 3v Combine like terms: 8v + 3v = 11v -17 + 11v = -6 + -3v + 3v Combine like terms: -3v + 3v = 0 -17 + 11v = -6 + 0 -17 + 11v = -6 Add '17' to each side of the equation. -17 + 17 + 11v = -6 + 17 Combine like terms: -17 + 17 = 0 0 + 11v = -6 + 17 11v = -6 + 17 Combine like terms: -6 + 17 = 11 11v = 11 Divide each side by '11'. v = 1 Simplifying v = 1
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