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Simplifying 400 = 8(6v + 2) Reorder the terms: 400 = 8(2 + 6v) 400 = (2 * 8 + 6v * 8) 400 = (16 + 48v) Solving 400 = 16 + 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. 400 + -48v = 16 + 48v + -48v Combine like terms: 48v + -48v = 0 400 + -48v = 16 + 0 400 + -48v = 16 Add '-400' to each side of the equation. 400 + -400 + -48v = 16 + -400 Combine like terms: 400 + -400 = 0 0 + -48v = 16 + -400 -48v = 16 + -400 Combine like terms: 16 + -400 = -384 -48v = -384 Divide each side by '-48'. v = 8 Simplifying v = 8
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