"MnO_2\\rightarrow Mn^{2+}"
"MnO_2\\rightarrow Mn^{2+}+2H_2O"
"MnO_2+ 4H^+\\rightarrow Mn^{2+} + 2H_2O"
"MnO_2+4H^++2e^-\\rightarrow Mn^{2+}+2H_2O"
"2Cl^-\\rightarrow Cl_2+2e^-"
Add the last two equations:
"MnO_2+4H^++2e^-+2Cl^-\\rightarrow Mn^{2+}+ 2H_2O+Cl_2+2e^-"
"MnO_2+2H^++2HCl\\rightarrow Mn^{2+}+2H_2O+Cl_2"
Add "2Cl^-" to the both sides of equation
"MnO_2+4HCl\\rightarrow MnCl_2+2H_2O+Cl_2"
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