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Simplifying 414 = 6(8v + 5) Reorder the terms: 414 = 6(5 + 8v) 414 = (5 * 6 + 8v * 6) 414 = (30 + 48v) Solving 414 = 30 + 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. 414 + -48v = 30 + 48v + -48v Combine like terms: 48v + -48v = 0 414 + -48v = 30 + 0 414 + -48v = 30 Add '-414' to each side of the equation. 414 + -414 + -48v = 30 + -414 Combine like terms: 414 + -414 = 0 0 + -48v = 30 + -414 -48v = 30 + -414 Combine like terms: 30 + -414 = -384 -48v = -384 Divide each side by '-48'. v = 8 Simplifying v = 8
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