Private-equity firm Thoma Bravo LP has made a deal to acquire property-management software developer RealPage for $9.6 billion, in one of the biggest recent leveraged buyouts.Thoma Bravo is spending $88.75 a share for the company, a 31% premium to RealPage’s closing price Friday of $67.83, officials at the firm stated.RealPage, based in Richardson, Texas, provides a technology platform used by owners and managers of rental properties. Tenants may pay their rent or submit a maintenance request using RealPage’s software. The company also keeps a database of real-time lease transactions, granting it the forecast where markets are going.Its shares increased 26% this year.