when simplying expressions we need to group all the terms that have the same literal part, which is the letters that go by the side of the number.
[tex]7c-4d+3c[/tex]in this expression the common term between 2 of them is c, we group them together
[tex](7c+3c)-4d[/tex]we take the common factor out of the parentheses
[tex]c(7+3)-4d[/tex]solve the factor inside the parentheses
[tex]c(10)-4d[/tex]write the final expression
[tex]10c-4d[/tex]