Answer :

To solve for [tex]\( u \)[/tex] in the equation [tex]\(-u + 173 = 102\)[/tex], follow these steps:

1. Start with the given equation:
[tex]\[
-u + 173 = 102
\][/tex]

2. To isolate [tex]\( -u \)[/tex], subtract 173 from both sides of the equation:
[tex]\[
-u + 173 - 173 = 102 - 173
\][/tex]
which simplifies to:
[tex]\[
-u = -71
\][/tex]

3. The equation [tex]\(-u = -71\)[/tex] implies [tex]\( u \)[/tex] is the negative of [tex]\(-71\)[/tex], so multiply both sides by -1:
[tex]\[
u = 71
\][/tex]

Therefore, the solution for [tex]\( u \)[/tex] is [tex]\( u = 71 \)[/tex].