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Simplifying -24 = 5(v + -6) + -8v Reorder the terms: -24 = 5(-6 + v) + -8v -24 = (-6 * 5 + v * 5) + -8v -24 = (-30 + 5v) + -8v Combine like terms: 5v + -8v = -3v -24 = -30 + -3v Solving -24 = -30 + -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. -24 + 3v = -30 + -3v + 3v Combine like terms: -3v + 3v = 0 -24 + 3v = -30 + 0 -24 + 3v = -30 Add '24' to each side of the equation. -24 + 24 + 3v = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 3v = -30 + 24 3v = -30 + 24 Combine like terms: -30 + 24 = -6 3v = -6 Divide each side by '3'. v = -2 Simplifying v = -2
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