Solve for b: 4 1/3b+b=6b–10.4

-7 8/10  =  b

Step-by-step explanation:

Rewrite 4 1/3b as (11/3)b, and rewrite 10.4 as 104/10.  Then we have:

(11/3)b + b = 6b - 104/10.

This simplifies to b( (11/3) + 1 - 6) = 104/10, or

                             b(11/3 - 15/3) = 104/10, or

                             b( -4/3 ) = 104/10

Multiplying both sides by -3/4 isolates b, as desired:

                                                     -3(104)

                             (-3/4)(-4/3)b =

                                                        4(10)

Then b = -312/40, or -156/20, or -78/10, or -7 8/10  =  b