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Simplifying v * 8 = (2 + v) * 4 Reorder the terms for easier multiplication: 8v = (2 + v) * 4 Reorder the terms for easier multiplication: 8v = 4(2 + v) 8v = (2 * 4 + v * 4) 8v = (8 + 4v) Solving 8v = 8 + 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. 8v + -4v = 8 + 4v + -4v Combine like terms: 8v + -4v = 4v 4v = 8 + 4v + -4v Combine like terms: 4v + -4v = 0 4v = 8 + 0 4v = 8 Divide each side by '4'. v = 2 Simplifying v = 2
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