Answer :

To solve the equation [tex]\( z + 153 = 181 \)[/tex] for [tex]\( z \)[/tex], follow these steps:

1. Understand the equation: We need to find the value of [tex]\( z \)[/tex] such that when 153 is added to it, the result is 181.

2. Isolate [tex]\( z \)[/tex]: To find [tex]\( z \)[/tex], we need to get it by itself on one side of the equation. We can do this by removing 153 from the left side. Since 153 is currently added to [tex]\( z \)[/tex], we will subtract 153 from both sides of the equation to keep it balanced.

3. Subtract 153 from both sides:
[tex]\[
z + 153 - 153 = 181 - 153
\][/tex]

4. Simplify the equation: On the left side, [tex]\( 153 - 153 \)[/tex] cancels out, leaving just [tex]\( z \)[/tex]. On the right side, perform the subtraction:
[tex]\[
z = 181 - 153
\][/tex]

5. Calculate the result:
[tex]\[
z = 28
\][/tex]

Therefore, the value of [tex]\( z \)[/tex] that satisfies the equation is [tex]\( 28 \)[/tex].