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Simplifying -24 = 2(v + -3) + -8v Reorder the terms: -24 = 2(-3 + v) + -8v -24 = (-3 * 2 + v * 2) + -8v -24 = (-6 + 2v) + -8v Combine like terms: 2v + -8v = -6v -24 = -6 + -6v Solving -24 = -6 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -24 + 6v = -6 + -6v + 6v Combine like terms: -6v + 6v = 0 -24 + 6v = -6 + 0 -24 + 6v = -6 Add '24' to each side of the equation. -24 + 24 + 6v = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 6v = -6 + 24 6v = -6 + 24 Combine like terms: -6 + 24 = 18 6v = 18 Divide each side by '6'. v = 3 Simplifying v = 3
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