Answer:
z = 6
Explanation:
The main goal is to isolate the variable, meaning to get the variable on one side by itself. To do this, we perform inverse operations on each of the terms.
We are given the equation:
51 = 45 + z/11
Let's get rid of the constants first.
Subtract 45 from both sides since the inverse operation of addition is subtraction:
51 = 45 + z/11
-45 -45
51 - 45 = z/11
6 = z/11
Now, the inverse operation of division is multiplication. So multiply both sides by 11.
6 = z/11
·11 ·11
6 · 11 = z
z = 66
The two steps into getting this answer were 1. subtracting 45 from both sides 2. multiplying both sides by 11.