Question

1) 7b – 37 = 4(5b - 6)

Answer 1

Answer and Step-by-step explanation:

`\Huge \boxed{b=-1}.`

Step 1 : Simplify both the sides of the equation :

`7b-37=4(5b-6)\\7b+-37=(4)(5b)+(4)(-6)\\7b+-37=20b+-24\\7b-37=20b-24`

Step 2 : Subtract 20b from both sides :

`7b-37-20b=20b-24-20b\\-13b-37=-24`

Step 3 : Add 37 to both sides :

`-13b-37+37=-24+37\\-13b=13`

Step 4 : Divide both sides by -13 :

`(-13b)/(-13)=(13)/(-13)`

`b=-1`

That's our final answer !

Answer 2

Explanation:

1) 7b – 37 = 4(5b - 6)

7b - 37= 20b - 24

-13b = 13

dividing both sides by -13

b=-13/13=-1

b = -1