To evaluate the expression \(6|5-c| + 2c\) when \(c=6\), let's go through the calculations step by step:
1. Calculate the absolute value \(|5-c|\):
[tex]\[
|5 - 6| = |-1| = 1
\][/tex]
2. Multiply the absolute value by 6:
[tex]\[
6 \times 1 = 6
\][/tex]
3. Multiply \(c\) by 2:
[tex]\[
2 \times 6 = 12
\][/tex]
4. Add the two results together:
[tex]\[
6 + 12 = 18
\][/tex]
So, the value of the expression [tex]\(6|5-c| + 2c\)[/tex] when [tex]\(c=6\)[/tex] is [tex]\(18\)[/tex].
