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Simplifying 2(4v + 9) = 5v Reorder the terms: 2(9 + 4v) = 5v (9 * 2 + 4v * 2) = 5v (18 + 8v) = 5v Solving 18 + 8v = 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 18 + 8v + -5v = 5v + -5v Combine like terms: 8v + -5v = 3v 18 + 3v = 5v + -5v Combine like terms: 5v + -5v = 0 18 + 3v = 0 Add '-18' to each side of the equation. 18 + -18 + 3v = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3v = 0 + -18 3v = 0 + -18 Combine like terms: 0 + -18 = -18 3v = -18 Divide each side by '3'. v = -6 Simplifying v = -6
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