Certainly! Let's solve the equation [tex]\( -(m - 2) = m + 11 \)[/tex] for [tex]\( m = -3 \)[/tex].
1. Substitute the value of [tex]\( m \)[/tex] into the given equation:
[tex]\[
-( -3 - 2 ) = -3 + 11
\][/tex]
2. Simplify both sides of the equation step by step:
- For the left side, start by evaluating the expression inside the parentheses:
[tex]\[
- ( -3 - 2 ) = -( -5 )
\][/tex]
- Applying the negative sign outside the parentheses means we change the sign of [tex]\( -5 \)[/tex]:
[tex]\[
-( -5 ) = 5
\][/tex]
Now, the left side simplifies to [tex]\( 5 \)[/tex].
3. For the right side, combine the terms:
[tex]\[
-3 + 11 = 8
\][/tex]
4. After performing these calculations, we have:
[tex]\[
5 = 8
\][/tex]
Hence, the left side evaluates to [tex]\( 5 \)[/tex] and the right side evaluates to [tex]\( 8 \)[/tex].
