Simple fraction help

10% = ((1.64*(1+g)) / 27) + g

solve for g.

i know g = 3.92%
i just don't know how to get the answer

10% = ((1.64*(1+g)) / 27) + g

Rewrite in simplier form

.1 = 1.64*(1+g) / 27 + g

multiply by 27

2.7 = 1.64*(1+g) + 27g
2.7 = 1.64 + 1.64g + 27g
2.7 - 1.64 = 28.64g
(get numbers on left, variables on right, collect like terms)
1.06/28.64 = g
.0370... = g

So, g=3.70%

0.10 = ((1.64*(1+g)) / 27) + g
0.10 = [(1.64 + 1.64g)/27] + g ---->multiply by 27
2.7 = 1.64 + 1.64g + 27g
2.7 - 1.64 = 28.64g
1.06 = 28.64g
0.037 = g or 3.7%