[tex]1 \frac{1}{2} c = 6 \\ \\ \frac{2 + 1}{2} c = 6 \ / \ convert \ to \ improper \ fraction \\ \\ \frac{3}{2} c = 6 \ / \ simplify \\ \\ \frac{3c}{2} = 6 \ / \ simplify \\ \\ 3c = 6 \times 2 \ / \ multiply \ each \ side \ by \ 2 \\ \\ 3c = 12 \ / \ simplify \\ \\ c = \frac{12}{3} \ / \ divide \ each \ side \ by \ 3 \\ \\ c = 4 \ / \ simplify \\ \\ [/tex]
So, your answer to this problem is c = 4.
