Which of the following expressions is equivalent to 5 (w + g) - 4 (w - 1) - 5g?

A. w - 1
B. w - 4g - 1
C. w + 4
D. 9w + 10g + 4

1 answer

To simplify the expression 5 (w + g) - 4 (w - 1) - 5g, we can first distribute the 5 and the 4:

5 * w + 5 * g - 4 * w + 4 * 1 - 5g

This simplifies to:

5w + 5g - 4w + 4 - 5g

Combining like terms, we have:

(5w - 4w) + (5g - 5g) + 4

This further simplifies to:

w + 0 + 4

Which is equivalent to:

w + 4

Therefore, the answer is C. w + 4.