Respuesta :

Hello!

The expression: [tex]-14c-7(-19c-6)[/tex].

First step: Apply the Distributive Property; it is [tex]a(b + c) = ab + ac[/tex].

[tex]-14c-7(-19c-6)[/tex]
[tex]-14c+133c+42[/tex]

[A negative times a negative equals a positive.]
Next step: Combine like terms.

[tex]-14c+133c+42[/tex]
[tex]119c+42[/tex]

The simplified expression is [tex]119c+42[/tex].
Okay. First things first, we will distribute the -7 out to the numbers in the parenthesis. To do that, you will multiply each number in there by -7. -7 * -19c is 133 and -7 * -6 is 42. That makes the numbers become 133c + 42. We will combine like terms with -14c. 133c - 14c is 119c. The expression becomes 119c + 42. The expression in simplest form is 119c + 42.