Question

solve for s.\
\\(\frac{-11s - 4}{8} = 5\\)\
\\(s = ?\\)

Explanation:

Step1: Multiply both sides by 8

To eliminate the denominator, we multiply both sides of the equation \(\frac{-11s - 4}{8}=5\) by 8. This gives us \(-11s - 4 = 5\times8\).
Calculating the right side, \(5\times8 = 40\), so the equation becomes \(-11s - 4 = 40\).

Step2: Add 4 to both sides

To isolate the term with \(s\), we add 4 to both sides of the equation \(-11s - 4 = 40\). This results in \(-11s = 40 + 4\).
Calculating the right side, \(40 + 4 = 44\), so the equation is now \(-11s = 44\).

Step3: Divide both sides by -11

To solve for \(s\), we divide both sides of the equation \(-11s = 44\) by -11. This gives \(s=\frac{44}{-11}\).
Simplifying the right side, \(\frac{44}{-11}=-4\).

Answer:

\(s = -4\)