To solve for [tex]\( B \)[/tex] in the equation [tex]\( A = 4B + C \)[/tex], follow these steps:
1. Isolate the term with [tex]\( B \)[/tex]:
Start with the equation given:
[tex]\[
A = 4B + C
\][/tex]
Our goal is to get [tex]\( B \)[/tex] by itself on one side of the equation. To do this, we need to get rid of the [tex]\( C \)[/tex] term on the right-hand side.
2. Subtract [tex]\( C \)[/tex] from both sides of the equation:
[tex]\[
A - C = 4B
\][/tex]
Now we have [tex]\( 4B \)[/tex] on one side and the remaining terms on the other side.
3. Solve for [tex]\( B \)[/tex] by dividing both sides by 4:
[tex]\[
B = \frac{A - C}{4}
\][/tex]
Therefore, the solution for [tex]\( B \)[/tex] in the equation [tex]\( A = 4B + C \)[/tex] is:
[tex]\[
B = \frac{A}{4} - \frac{C}{4}
\][/tex]
