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Simplifying 3(2 + 3v) = 38 + 5v (2 * 3 + 3v * 3) = 38 + 5v (6 + 9v) = 38 + 5v Solving 6 + 9v = 38 + 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. 6 + 9v + -5v = 38 + 5v + -5v Combine like terms: 9v + -5v = 4v 6 + 4v = 38 + 5v + -5v Combine like terms: 5v + -5v = 0 6 + 4v = 38 + 0 6 + 4v = 38 Add '-6' to each side of the equation. 6 + -6 + 4v = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 4v = 38 + -6 4v = 38 + -6 Combine like terms: 38 + -6 = 32 4v = 32 Divide each side by '4'. v = 8 Simplifying v = 8
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