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In his first spending plan, Richmond Public Schools Superintendent Jason Kamras proposed slashing $13 million from the division’s central office costs to offset a self-inflicted budget gap.

Kamras, approaching his one-year anniversary as schools chief next month, presented a draft budget to the Richmond School Board on Tuesday designed to address the division’s earlier decision to use some one-time money from the city toward recurring expenses, such as pay raises and new hires.

Unless Mayor Levar Stoney includes another allotment to bail out the system in his spending plan for the next fiscal year, which he has not yet introduced, the district could come up about $12 million short — without cuts.

In his presentation to the board, Kamras said he wanted to seek savings in the central office rather than touch schools.

“Reductions are never easy,” he said. “My proposal does not come lightly.”

His plan to make up the gap and also pay for a $2 million teacher step raise would leave $1 million worth of positions vacant. A breakdown of the specific positions that would be cut was not available Tuesday.