Sure, let's evaluate the expression [tex]\( 3w + (8 - v)t \)[/tex] step by step given the values [tex]\( w = 4 \)[/tex], [tex]\( v = 5 \)[/tex], and [tex]\( t = 2 \)[/tex].
1. Substitute the given values into the expression:
[tex]\[
3 \cdot 4 + (8 - 5) \cdot 2
\][/tex]
2. Perform the multiplication inside the first term:
[tex]\[
12 + (8 - 5) \cdot 2
\][/tex]
3. Simplify the expression inside the parentheses:
[tex]\[
12 + 3 \cdot 2
\][/tex]
4. Perform the multiplication inside the second term:
[tex]\[
12 + 6
\][/tex]
5. Add the results:
[tex]\[
18
\][/tex]
So, the value of the expression [tex]\( 3w + (8 - v)t \)[/tex] when [tex]\( w = 4 \)[/tex], [tex]\( v = 5 \)[/tex], and [tex]\( t = 2 \)[/tex] is [tex]\( 18 \)[/tex].
