It helps that solder is specifically made from as low temperature metals as possible (while balancing other properties of course). [Wikipedia](https://en.wikipedia.org/wiki/Solder) lists the average temperature of electronics solder at 180°C to 190°C (of solder that might be used in electronics). So while this is certainly hot enough to hurt hands and burn plastic, it is far too low to melt the metals that are used in the electronics.
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