Certainly! Let's solve the equation step-by-step for [tex]\( j \)[/tex].
The given equation is:
[tex]\[ 51 = j - 27 \][/tex]
To isolate [tex]\( j \)[/tex] on one side of the equation, we need to eliminate the [tex]\(-27\)[/tex] on the right side. We can do this by adding 27 to both sides of the equation. This step keeps the equation balanced as it modifies both sides equally.
Here's how that works:
1. Start with the equation:
[tex]\[ 51 = j - 27 \][/tex]
2. Add 27 to both sides to eliminate [tex]\(-27\)[/tex] from the right side:
[tex]\[ 51 + 27 = j - 27 + 27 \][/tex]
3. Simplify both sides:
[tex]\[ 78 = j \][/tex]
So, the value of [tex]\( j \)[/tex] is:
[tex]\[ j = 78 \][/tex]
Thus, the solution is:
[tex]\[ j = 78 \][/tex]
