Answer :
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]
[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]