Answer :

To solve the equation [tex]\(10r - 2 = 10r + 1\)[/tex], let's follow these steps:

1. Subtract [tex]\(10r\)[/tex] from both sides:
This will help us to eliminate the [tex]\(r\)[/tex] terms from both sides of the equation.

[tex]\[
10r - 2 - 10r = 10r + 1 - 10r
\][/tex]

Simplifying this, we get:

[tex]\[
-2 = 1
\][/tex]

2. Analyze the result:
The equation [tex]\(-2 = 1\)[/tex] is a contradiction because [tex]\(-2\)[/tex] is not equal to [tex]\(1\)[/tex]. This means that something went wrong or the equation is impossible to satisfy for any value of [tex]\(r\)[/tex].

Because of this contradiction, there is no solution to the equation [tex]\(10r - 2 = 10r + 1\)[/tex]. It cannot be true, and there is no value of [tex]\(r\)[/tex] that will satisfy this equation.