Question

Solve the equation 7b-27=8(6+4b)

Answer 1

Answer: b= -3

Explanation:

`7b-27=8\left(6+4b\right)`

distribute

`7b-27=48+32b`

add 27 to both sides

`7b-27+27=48+32b+27`

`7b=32b+75`

subtract 32b on both sides

`7b-32b=32b+75-32b`

divide -25 on both sides

`-25b=75`

`b=-3`

Answer 2

b = -3

Explanation:

7b-27=8(6+4b)

Distribute

7b -27 = 48 + 32b

Subtract 7b from each side

7b-7b-27=48+32b-7b

-27 = 48+25b

Subtract 48 from each side

-27-48 = 48+25b -47

-75 = 25b

Divide each side by 25

-75/-25 =25b/25

-3 =b