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Simplifying 4(1 + 4v) = 2v + 18 (1 * 4 + 4v * 4) = 2v + 18 (4 + 16v) = 2v + 18 Reorder the terms: 4 + 16v = 18 + 2v Solving 4 + 16v = 18 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 4 + 16v + -2v = 18 + 2v + -2v Combine like terms: 16v + -2v = 14v 4 + 14v = 18 + 2v + -2v Combine like terms: 2v + -2v = 0 4 + 14v = 18 + 0 4 + 14v = 18 Add '-4' to each side of the equation. 4 + -4 + 14v = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 14v = 18 + -4 14v = 18 + -4 Combine like terms: 18 + -4 = 14 14v = 14 Divide each side by '14'. v = 1 Simplifying v = 1
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