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Simplifying 8(1 + v) + v = 4(2 + 3v) (1 * 8 + v * 8) + v = 4(2 + 3v) (8 + 8v) + v = 4(2 + 3v) Combine like terms: 8v + v = 9v 8 + 9v = 4(2 + 3v) 8 + 9v = (2 * 4 + 3v * 4) 8 + 9v = (8 + 12v) Add '-8' to each side of the equation. 8 + -8 + 9v = 8 + -8 + 12v Combine like terms: 8 + -8 = 0 0 + 9v = 8 + -8 + 12v 9v = 8 + -8 + 12v Combine like terms: 8 + -8 = 0 9v = 0 + 12v 9v = 12v Solving 9v = 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 9v + -12v = 12v + -12v Combine like terms: 9v + -12v = -3v -3v = 12v + -12v Combine like terms: 12v + -12v = 0 -3v = 0 Divide each side by '-3'. v = 0 Simplifying v = 0
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