Answer:
7(c-10)
Explanation:
Given the expression:
[tex]-10\left(-5c+4c+7\right)-3c[/tex]First, we can simplify the terms in the bracket first.
[tex]\begin{gathered} -5c+4c=-c \\ \text{Therefore:} \\ -10\left(-5c+4c+7\right)-3c=-10\left(-c+7\right)-3c \end{gathered}[/tex]Next, we distribute to obtain:
[tex]\begin{gathered} =-10(-c)-10(7)-3c \\ =10c-70-3c \end{gathered}[/tex]We can then rearrange as follows:
[tex]\begin{gathered} =10c-3c-70 \\ =7c-70 \\ =7(c-10) \end{gathered}[/tex]