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Simplifying 9 = 5(v + -3) + -8v Reorder the terms: 9 = 5(-3 + v) + -8v 9 = (-3 * 5 + v * 5) + -8v 9 = (-15 + 5v) + -8v Combine like terms: 5v + -8v = -3v 9 = -15 + -3v Solving 9 = -15 + -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. 9 + 3v = -15 + -3v + 3v Combine like terms: -3v + 3v = 0 9 + 3v = -15 + 0 9 + 3v = -15 Add '-9' to each side of the equation. 9 + -9 + 3v = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 3v = -15 + -9 3v = -15 + -9 Combine like terms: -15 + -9 = -24 3v = -24 Divide each side by '3'. v = -8 Simplifying v = -8
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