Final answer:
To simplify the expression -3/4(-4f+3g+8f-5g) to the sum of two terms, distribute the -3/4 and combine like terms to get the equivalent expression -3f + 3/2g.
Step-by-step explanation:
When considering the expression -3/4(-4f+3g+8f-5g), you first need to distribute the -3/4 across each term within the parentheses.
First, multiply -3/4 by -4f, resulting in 3f (since -3/4 times -4 equals 3).
Then, multiply -3/4 by 3g, resulting in -9/4g.
Next, multiply -3/4 by 8f, resulting in -6f.
Finally, multiply -3/4 by -5g, resulting in 15/4g.
Now combine like terms (3f and -6f) as well as (-9/4g and 15/4g) to simplify the expression:
3f - 6f = -3f
-9/4g + 15/4g
= 6/4g or 3/2g
Therefore, an equivalent expression that is the sum of two terms is -3f + 3/2g.