Answer :

To solve the equation [tex]\( 187 = -17c \)[/tex] for [tex]\( c \)[/tex], follow these steps:

1. Understand the goal: Our aim is to isolate [tex]\( c \)[/tex] on one side of the equation.

2. Identify the operation involving [tex]\( c \)[/tex]: The equation [tex]\( 187 = -17c \)[/tex] has [tex]\( c \)[/tex] multiplied by [tex]\(-17\)[/tex].

3. Isolate [tex]\( c \)[/tex]: To solve for [tex]\( c \)[/tex], divide both sides of the equation by [tex]\(-17\)[/tex]. This will cancel out [tex]\(-17\)[/tex] from the right side where it is multiplying [tex]\( c \)[/tex].

4. Perform the calculation:
[tex]\[
c = \frac{187}{-17}
\][/tex]

5. Calculate the result: When you divide 187 by -17, you obtain:
[tex]\[
c = -11.0
\][/tex]

Hence, the solution for [tex]\( c \)[/tex] is [tex]\( c = -11.0 \)[/tex].