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Simplifying -24 + -8v = v + 6(5 + -6v) -24 + -8v = v + (5 * 6 + -6v * 6) -24 + -8v = v + (30 + -36v) Reorder the terms: -24 + -8v = 30 + v + -36v Combine like terms: v + -36v = -35v -24 + -8v = 30 + -35v Solving -24 + -8v = 30 + -35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35v' to each side of the equation. -24 + -8v + 35v = 30 + -35v + 35v Combine like terms: -8v + 35v = 27v -24 + 27v = 30 + -35v + 35v Combine like terms: -35v + 35v = 0 -24 + 27v = 30 + 0 -24 + 27v = 30 Add '24' to each side of the equation. -24 + 24 + 27v = 30 + 24 Combine like terms: -24 + 24 = 0 0 + 27v = 30 + 24 27v = 30 + 24 Combine like terms: 30 + 24 = 54 27v = 54 Divide each side by '27'. v = 2 Simplifying v = 2
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