Sure, let's work through the problem step-by-step to determine the equivalent expression for [tex]\( 4(3n - 5) \)[/tex].
1. Starting Expression:
[tex]\[ 4(3n - 5) \][/tex]
2. Distribute the 4:
We need to distribute the 4 to both terms inside the parentheses. This involves multiplying 4 by each term within the parentheses.
[tex]\[ 4 \times (3n) \][/tex]
[tex]\[ 4 \times (-5) \][/tex]
3. Calculate Each Term:
- [tex]\( 4 \times 3n = 12n \)[/tex]
- [tex]\( 4 \times (-5) = -20 \)[/tex]
4. Combine the Results:
Now we combine the two results from the distribution step.
[tex]\[ 12n - 20 \][/tex]
So, the equivalent expression for [tex]\( 4(3n - 5) \)[/tex] is:
[tex]\[ 12n - 20 \][/tex]
This completes the process of finding the equivalent expression.
