Answer :

Sure, let's proceed step by step to simplify the given expression. The expression is:

[tex]\[ 35 - 2 + 3 \cdot \pi - 2 = 3 \][/tex]

### Step-by-Step Solution:

1. Identify all operations: We need to handle subtraction, addition, and multiplication.

2. Perform the multiplication first (according to the order of operations): Calculate [tex]\(3 \cdot \pi\)[/tex].

Since [tex]\(\pi\)[/tex] approximately equals 3.14159:

[tex]\[ 3 \cdot \pi \approx 3 \cdot 3.14159 = 9.42477 \][/tex]

Now, substitute this value back into the expression:

[tex]\[ 35 - 2 + 9.42477 - 2 = 3 \][/tex]

3. Perform the subtractions and addition from left to right:

- First, compute [tex]\(35 - 2\)[/tex]:

[tex]\[ 35 - 2 = 33 \][/tex]

- Next, add the intermediate result to 9.42477:

[tex]\[ 33 + 9.42477 = 42.42477 \][/tex]

- Finally, subtract 2:

[tex]\[ 42.42477 - 2 = 40.42477 \][/tex]

So, the left-hand side (LHS) of the equation simplifies to:

[tex]\[ 40.42477 \][/tex]

4. Compare the two sides:

The left-hand side (LHS) is now 40.42477, while the right-hand side (RHS) is 3.

It's clear that:

[tex]\[ 40.42477 \neq 3 \][/tex]

### Conclusion:

- The left-hand side (LHS) of the simplified expression [tex]\(35 - 2 + 3 \cdot \pi - 2\)[/tex] is approximately 40.42477.
- The right-hand side (RHS) is 3.
- Since 40.42477 does not equal 3, the original equation does not hold true.

Hence, the final simplified value of the expression [tex]\( 35 - 2 + 3 \cdot \pi - 2 \)[/tex] is approximately 40.42477.