#!/bin/bash
s="[test.txt]
name['myname']['test'] = 12
name['todo']['remove'] = 3456
name['todo']['remove']['inspection'] = 34"
sed "/name\['todo']\['remove'] =/d" <<< "$s"
IyEvYmluL2Jhc2gKcz0iW3Rlc3QudHh0XQpuYW1lWydteW5hbWUnXVsndGVzdCddID0gMTIKbmFtZVsndG9kbyddWydyZW1vdmUnXSA9IDM0NTYKbmFtZVsndG9kbyddWydyZW1vdmUnXVsnaW5zcGVjdGlvbiddID0gMzQiCnNlZCAiL25hbWVcWyd0b2RvJ11cWydyZW1vdmUnXSA9L2QiIDw8PCAiJHMi