Question

1) 7b – 37 = 4(5b - 6)

Answer 1

Step-by-step explanation:

1) 7b – 37 = 4(5b - 6)

7b - 37= 20b - 24

-13b = 13

dividing both sides by -13

b=-13/13=-1

b = -1

Answer 2

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 :

$\frac{-13b}{-13}=\frac{13}{-13}$

$b=-1$

That's our final answer !