To determine the coefficient of the \(c\)-term in the algebraic expression \(14a - 72r - c - 34d\), let's carefully examine the expression:
[tex]\[
14a - 72r - c - 34d
\][/tex]
In this expression, the terms are separated by either plus or minus signs, indicating the coefficients that accompany each variable. We can identify the terms based on their respective variables:
- The coefficient of \(a\) is \(14\).
- The coefficient of \(r\) is \(-72\).
- The coefficient of \(d\) is \(-34\).
Now, let's focus on the term involving \(c\):
[tex]\[
- c
\][/tex]
Here, there isn't a numerical coefficient explicitly written in front of \(c\). In algebra, when a variable stands alone with a minus sign, it implies that the numerical coefficient of that variable is \(-1\). Therefore, the coefficient of the \(c\)-term is \(-1\).
So the correct answer is:
[tex]\[
-1
\][/tex]
