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Simplifying 9(3 + v) + 38 = 14v (3 * 9 + v * 9) + 38 = 14v (27 + 9v) + 38 = 14v Reorder the terms: 27 + 38 + 9v = 14v Combine like terms: 27 + 38 = 65 65 + 9v = 14v Solving 65 + 9v = 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 65 + 9v + -14v = 14v + -14v Combine like terms: 9v + -14v = -5v 65 + -5v = 14v + -14v Combine like terms: 14v + -14v = 0 65 + -5v = 0 Add '-65' to each side of the equation. 65 + -65 + -5v = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -5v = 0 + -65 -5v = 0 + -65 Combine like terms: 0 + -65 = -65 -5v = -65 Divide each side by '-5'. v = 13 Simplifying v = 13
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