Solve for b:
0.0891 b = 0.13 (1-0.0891 b)
0.13 (1-0.0891 b) = 0.13×1+0.13 (-0.0891 b):
0.0891 b = 0.13-0.0891×0.13 b
0.13 (-0.0891) = -0.011583:
0.0891 b = -0.011583 b+0.13
Subtract 0.13-0.011583 b from both sides of 0.0891 b = 0.13-0.011583 b:
0.0891 b-0.13-0.011583 b = (0.13-0.011583 b)-0.13-0.011583 b
(0.13-0.011583 b)-(0.13-0.011583 b) = 0:
0.0891 b-(0.13-0.011583 b) = 0
-(0.13-0.011583 b) = -(-0.011583 b)-0.13:
0.0891 b+-(-0.011583 b)-0.13 = 0
-(-0.011583) = 0.011583:
0.0891 b+0.011583 b-0.13 = 0
Grouping like terms, 0.0891 b+0.011583 b-0.13 = (0.0891 b+0.011583 b)-0.13:
(0.0891 b+0.011583 b)-0.13 = 0
0.0891 b+0.011583 b = 0.100683 b:
Answer: | 0.100683 b-0.13 = 0 b=1.291181..........