Question

Rewrite in simplest terms:
10 ( 7 g − 9 h ) − 4 h − 8 ( − h + 8 g )

Answer 1

`6g -86h`

Explanation:

`10( 7g-9h) -4h - 8(-h + 8g)`

1) First, distribute the 10 and the -8 to the terms in the parentheses next to them. Remember, don't distribute to the -4h since it is not in the parentheses.

`10( 7g - 9h) -4h - 8(-h + 8g)\\70g - 90h-4h+8h-64g\\`

2) Next, combine like terms. (Any terms that have the same variables must be added together by their coefficients.)

`70g - 90h-4h+8h-64g\\\\70g-64g-90h-4h+8h\\6g-86h`

There are no more like terms to combine, so
`6g -86h` is the answer.