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