Sure, let's simplify the expression step by step given [tex]\( n = 8 \)[/tex] and [tex]\( x = -3 \)[/tex].
The expression we need to simplify is:
[tex]\[
2(-7n - 4x)
\][/tex]
Step 1: Substitute the values of [tex]\( n \)[/tex] and [tex]\( x \)[/tex] into the expression.
[tex]\[
2(-7 \cdot 8 - 4 \cdot (-3))
\][/tex]
Step 2: Multiply the constants inside the parentheses.
[tex]\[
2(-56 - (-12))
\][/tex]
[tex]\[
2(-56 + 12)
\][/tex]
Step 3: Simplify inside the parentheses.
[tex]\[
2(-44)
\][/tex]
Step 4: Multiply by 2.
[tex]\[
2 \cdot (-44) = -88
\][/tex]
So, the simplified value of the expression [tex]\( 2(-7n - 4x) \)[/tex] when [tex]\( n = 8 \)[/tex] and [tex]\( x = -3 \)[/tex] is:
[tex]\[
-88
\][/tex]
