Certainly! Let's solve the given equation step-by-step:
[tex]\[
\frac{t}{8} - 6 = -12
\][/tex]
1. Isolate the term involving [tex]\( t \)[/tex]:
To isolate the term [tex]\(\frac{t}{8}\)[/tex], we need to move the constant term [tex]\(-6\)[/tex] to the other side of the equation. We do this by adding 6 to both sides of the equation:
[tex]\[
\frac{t}{8} - 6 + 6 = -12 + 6
\][/tex]
Simplifying both sides gives:
[tex]\[
\frac{t}{8} = -6
\][/tex]
2. Solve for [tex]\( t \)[/tex]:
To solve for [tex]\( t \)[/tex], we need to get rid of the fraction by multiplying both sides of the equation by 8:
[tex]\[
8 \cdot \frac{t}{8} = 8 \cdot (-6)
\][/tex]
Simplifying both sides, we have:
[tex]\[
t = -48
\][/tex]
So, the solution to the equation [tex]\(\frac{t}{8} - 6 = -12\)[/tex] is:
[tex]\[
t = -48
\][/tex]
