Respond to objections with additional information or perspectives. If you don't know how to address their concerns, say so. Follow up with additional information if needed. Thank them for their time. One well-written letter can change a legislator's mind about an issue.
Letters are usually the best way for individuals to lobby the governor and legislative leaders.
Stick to one subject per letter. Keep it to one page. Tell them which bill you are writing to support or oppose. Give the bill number and name. Tell them what problem you think the bill will solve or create and why.