Let's solve the equation step by step:
[tex]\[ 5 = \frac{k}{8} - 44 \][/tex]
1. First Step: Isolate the fraction
To isolate the fraction [tex]\(\frac{k}{8}\)[/tex], we need to move [tex]\(-44\)[/tex] to the left side of the equation. We do this by adding 44 to both sides:
[tex]\[
5 + 44 = \frac{k}{8}
\][/tex]
2. Combine Like Terms
When we add 5 and 44, we get:
[tex]\[
49 = \frac{k}{8}
\][/tex]
3. Second Step: Solve for [tex]\(k\)[/tex]
To solve for [tex]\(k\)[/tex], we need to get rid of the fraction. We do this by multiplying both sides of the equation by 8:
[tex]\[
49 \times 8 = k
\][/tex]
4. Perform the Multiplication
When we multiply 49 by 8, we get:
[tex]\[
k = 392
\][/tex]
Thus, the solution to the equation [tex]\(5 = \frac{k}{8} - 44\)[/tex] is:
[tex]\[
k = 392
\][/tex]
