To determine the coefficient of the [tex]$c$[/tex]-term in the algebraic expression [tex]\(14a - 72r - c - 34d\)[/tex], let's analyze the expression step-by-step:
1. Identify the Term Involving [tex]\(c\)[/tex]:
The given expression is [tex]\(14a - 72r - c - 34d\)[/tex]. We need to find the term that specifically involves the variable [tex]\(c\)[/tex].
2. Isolate the [tex]\(c\)[/tex]-Term:
Among the terms in the expression, we see the term [tex]\(-c\)[/tex].
3. Determine the Coefficient:
The term [tex]\(-c\)[/tex] can be rewritten to make the coefficient more apparent: it's equivalent to [tex]\(-1 \cdot c\)[/tex]. Here, the coefficient of [tex]\(c\)[/tex] is clearly [tex]\(-1\)[/tex].
So, the coefficient of the [tex]\(c\)[/tex]-term in the given algebraic expression is:
[tex]\[
-1
\][/tex]
Thus, the correct answer is [tex]\(-1\)[/tex].
