Answer:
7
Step-by-step explanation:
Given equation is [tex]\[3(b-4)+5b=44\][/tex].
Simplifying the equation,
[tex]\[3b-12+5b=44\][/tex]
[tex]\[=> (3+5)b-12=44\][/tex]
[tex]\[=> 8b=44+12\][/tex]
[tex]\[=> 8b=56\][/tex]
[tex]\[=> b=\frac{56}{8}\][/tex]
[tex]\[=> b=7\][/tex]
Hence the required value of b is 7
Validation:
[tex]\[3(b-4)+5b\][/tex]
[tex]\[=3(7-4)+5*7\][/tex]
[tex]\[=3*3+5*7\][/tex]
[tex]\[=9+35\][/tex]
[tex]\[=44\][/tex]
