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Evaluate \(6|5-c| + 2c\) when \(c = 6\).

A. 6
B. 18
C. 48
D. -24


Sagot :

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].