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Simplifying -8(6v + -3) = 4(7v + 6) + -7v Reorder the terms: -8(-3 + 6v) = 4(7v + 6) + -7v (-3 * -8 + 6v * -8) = 4(7v + 6) + -7v (24 + -48v) = 4(7v + 6) + -7v Reorder the terms: 24 + -48v = 4(6 + 7v) + -7v 24 + -48v = (6 * 4 + 7v * 4) + -7v 24 + -48v = (24 + 28v) + -7v Combine like terms: 28v + -7v = 21v 24 + -48v = 24 + 21v Add '-24' to each side of the equation. 24 + -24 + -48v = 24 + -24 + 21v Combine like terms: 24 + -24 = 0 0 + -48v = 24 + -24 + 21v -48v = 24 + -24 + 21v Combine like terms: 24 + -24 = 0 -48v = 0 + 21v -48v = 21v Solving -48v = 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -48v + -21v = 21v + -21v Combine like terms: -48v + -21v = -69v -69v = 21v + -21v Combine like terms: 21v + -21v = 0 -69v = 0 Divide each side by '-69'. v = 0 Simplifying v = 0
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