If you do cardio before you run, it'll keep your heart rate higher throughout your workout increasing the amount of calories you'd burn, but you won't be able to lift as heavy.
I'd suggest doing interval training. Jog for 5 minutes or so to warm up, then alternate between 30-45 seconds of running at top speed and jogging for 30-45 sec. This keeps your heart rate high without being as hard on you as an all-out sprint.
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