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Simplifying 6v + -24 = -3(2v + 8) Reorder the terms: -24 + 6v = -3(2v + 8) Reorder the terms: -24 + 6v = -3(8 + 2v) -24 + 6v = (8 * -3 + 2v * -3) -24 + 6v = (-24 + -6v) Add '24' to each side of the equation. -24 + 24 + 6v = -24 + 24 + -6v Combine like terms: -24 + 24 = 0 0 + 6v = -24 + 24 + -6v 6v = -24 + 24 + -6v Combine like terms: -24 + 24 = 0 6v = 0 + -6v 6v = -6v Solving 6v = -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. 6v + 6v = -6v + 6v Combine like terms: 6v + 6v = 12v 12v = -6v + 6v Combine like terms: -6v + 6v = 0 12v = 0 Divide each side by '12'. v = 0 Simplifying v = 0
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