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Simplifying -9 = 3(v + 2) + -8v Reorder the terms: -9 = 3(2 + v) + -8v -9 = (2 * 3 + v * 3) + -8v -9 = (6 + 3v) + -8v Combine like terms: 3v + -8v = -5v -9 = 6 + -5v Solving -9 = 6 + -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. -9 + 5v = 6 + -5v + 5v Combine like terms: -5v + 5v = 0 -9 + 5v = 6 + 0 -9 + 5v = 6 Add '9' to each side of the equation. -9 + 9 + 5v = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 5v = 6 + 9 5v = 6 + 9 Combine like terms: 6 + 9 = 15 5v = 15 Divide each side by '5'. v = 3 Simplifying v = 3
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