Collin generates an expression equivalent to 7w−5+x−3(w+5)−x and writes it in its simplest form. What is the coefficient of the variable w ?

Answer 1

To simplify the expression, we can collect like terms.

7w - 5 + x - 3(w + 5) - x

We can distribute the -3 to the terms inside the parentheses:

7w - 5 + x - 3w - 15 - x

Combine like terms:

(7w - 3w) + (x - x) - 5 - 15

4w - 20

The coefficient of the variable w is 4.