Sure, let's solve for [tex]\( s \)[/tex] in the equation:
[tex]\[
\frac{-11s - 4}{8} = 5
\][/tex]
### Step 1: Eliminate the Fraction
First, we need to eliminate the fraction by multiplying both sides of the equation by 8.
[tex]\[
8 \cdot \frac{-11s - 4}{8} = 8 \cdot 5
\][/tex]
This simplifies to:
[tex]\[
-11s - 4 = 40
\][/tex]
### Step 2: Isolate the Linear Term
Next, we need to isolate the term containing [tex]\( s \)[/tex] by adding 4 to both sides:
[tex]\[
-11s - 4 + 4 = 40 + 4
\][/tex]
This simplifies to:
[tex]\[
-11s = 44
\][/tex]
### Step 3: Solve for [tex]\( s \)[/tex]
Finally, solve for [tex]\( s \)[/tex] by dividing both sides by -11:
[tex]\[
s = \frac{44}{-11}
\][/tex]
This simplifies to:
[tex]\[
s = -4
\][/tex]
So, the solution is:
[tex]\[
s = -4
\][/tex]
