White will not play optimally (will not try to save as many stones as possible or start a ko), but given that you play the correct moves that would be needed to save the stones anyway, the end result will be correct.
Also note that sente and gote makes the difference between a correct and incorrect answer.
(;AB[db]AB[dc]AB[cc]AB[bc]AB[bd]AB[ad]AW[ae]AW[be]AB[bf]AW[cd]AW[dd]AW[cf]AW[dg]AW[ef]AB[ff]AB[fg]AB[dh]AB[fh]AB[ch]AB[bh]AB[di]AB[dj]AB[dk]AW[gh]AW[hh]AW[ih]AW[ii]AW[ji]AB[gi]AB[hi]AB[ik]AB[hk]AW[jj]AW[mi]AW[lj]AW[lh]AW[ki]AW[kk]AW[lk]AW[kh]AB[gg]AB[hg]AB[ig]AB[jh]AB[jg]AB[kg]AB[lg]AB[mg]AB[ng]AB[mf]AB[og]AB[of]AB[pf]AB[pe]AB[pd]AB[od]AB[nd]AB[md]AW[oe]AW[ne]AW[me]AW[lf]AW[ld]AW[kd]AW[ke]AW[jd]AW[id]AW[hd]AW[gf]AW[ge]AW[fe]AB[ee]AB[ed]AB[fd]AW[ec]AW[fc]AW[gc]AW[gb]AW[hb]AB[hc]AB[ic]AB[ib]AB[ia]AB[jc]AB[kc]AB[kb]AB[ma]AB[mb]AB[mc]AB[lc]AW[ba]AW[ab]AW[eb]AW[da]AP[goproblems]
(;B[af];W[ce]
(;B[eg];W[df];B[cg]C[RIGHT])
(;B[cg];W[gd];B[eg];W[de]))
(;B[de];W[ce];B[cg];W[df]C[black lost his chance])
(;B[ca];W[cb];B[bb];W[ac])
(;B[eg];W[df]
(;B[ce];W[de];B[af];W[gd];B[ce]C[black saves his stones in gote; not the best choice])
(;B[af];W[ce];B[cg]C[RIGHT])
(;B[cg];W[gd];B[af];W[de];B[ce]C[black saves the corner, but in gote]))
(;B[ce];W[de];B[af];W[ce];B[cg];W[gd]))