Balance the following reaction and find the value of o, b and g respectively:
$\mathrm{a}{\mathrm{KMnO}}_4+{\mathrm{bH}}_2{\mathrm{O}}_2+6{\mathrm{H}}_2{\mathrm{SO}}_4⟶\mathrm{d}{\mathrm{MnSO}}_4+{\mathrm{eK}}_2{\mathrm{SO}}_4+{\mathrm{fO}}_2+{\mathrm{gH}}_2\mathrm{O}$

${\mathrm{KMnO}}_4+{\mathrm{H}}_2{\mathrm{O}}_2+{\mathrm{H}}_2{\mathrm{SO}}_4⟶{\mathrm{MnSO}}_4+{\mathrm{K}}_2{\mathrm{SO}}_4+{\mathrm{O}}_2+{\mathrm{H}}_2\mathrm{O}$
n_f = 5 n_f = 2
$2{\mathrm{KMnO}}_4+5{\mathrm{H}}_2{\mathrm{O}}_2+3{\mathrm{H}}_2{\mathrm{SO}}_4⟶2{\mathrm{MnSO}}_4++{\mathrm{K}}_2{\mathrm{SO}}_4+5{\mathrm{O}}_2+8{\mathrm{H}}_2\mathrm{O}$
Reaction is multiply by 2 (due to coefficient of H₂SO₄ is required 6)
$4{\mathrm{KMnO}}_4+10{\mathrm{H}}_2{\mathrm{O}}_2+6{\mathrm{H}}_2{\mathrm{SO}}_4⟶4{\mathrm{MnSO}}_4+2{\mathrm{K}}_2{\mathrm{SO}}_4+10{\mathrm{O}}_2+16{\mathrm{H}}_2\mathrm{O}$