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Simplifying -4(8v + -6) + 5v = -6(-4 + 8v) Reorder the terms: -4(-6 + 8v) + 5v = -6(-4 + 8v) (-6 * -4 + 8v * -4) + 5v = -6(-4 + 8v) (24 + -32v) + 5v = -6(-4 + 8v) Combine like terms: -32v + 5v = -27v 24 + -27v = -6(-4 + 8v) 24 + -27v = (-4 * -6 + 8v * -6) 24 + -27v = (24 + -48v) Add '-24' to each side of the equation. 24 + -24 + -27v = 24 + -24 + -48v Combine like terms: 24 + -24 = 0 0 + -27v = 24 + -24 + -48v -27v = 24 + -24 + -48v Combine like terms: 24 + -24 = 0 -27v = 0 + -48v -27v = -48v Solving -27v = -48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '48v' to each side of the equation. -27v + 48v = -48v + 48v Combine like terms: -27v + 48v = 21v 21v = -48v + 48v Combine like terms: -48v + 48v = 0 21v = 0 Divide each side by '21'. v = 0 Simplifying v = 0
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