Step by step
The question
Question: solve for b in A = bh.
We treat the other letters like numbers.
A = bh
1 b on the left
b is on the right.
We swap the two sides, so b is on the left.
They are still equal.
bh = A
2 Remove the h
hb means h times b.
We want just b.
To remove times h, we divide by h.
We do it on both sides.
h divided by h is 1.
So just b is left.
So b = A over h.
b = Ah
3 Check
Let's check with numbers.
We pick A = 4, h = 2.
Our answer gives b = 2.
b = 42 = 2
Now we put all the numbers into the start.
First the left side.
Left: 4
Now the right side.
Right: (2)(2) = 4
Both sides are 4.
So our answer is right!
Both sides equal 4
Let's look back.
First: b on the left.
Then: remove the h.
Last: check.
Answer
b = Ah