Answer:
[tex]\huge\boxed{c=\dfrac{79}{34}=2\dfrac{11}{34}}[/tex]
Step-by-step explanation:
[tex]-3-34(c-4)=54\qquad|\text{add 3 to both sides}\\\\-3+3-34(c-4)=54+3\\\\-34(c-4)=57\qquad|\text{use the distributive property}\\\\(-34)(c)+(-34)(-4)=57\\\\-34c+136=57\qquad|\text{subtract 136 from both sides}\\\\-34c+136-136=57-136\\\\-34c=-79\qquad|\text{divide both sides by (-34)}\\\\\dfrac{-34c}{-34}=\dfrac{-79}{-34}\\\\c=\dfrac{79}{34}[/tex]
