SOLUTION: MY DAUGHTER IS HAVING TROUBLE WITH EVALUATING EXPRESSIONS AND COMBINING LIKE TERMS. HERE IS ONE OF HER PROBLEMS: -6r - 10s + 8r + 4s

SOLUTION: MY DAUGHTER IS HAVING TROUBLE WITH EVALUATING EXPRESSIONS AND COMBINING LIKE TERMS. HERE IS ONE OF HER PROBLEMS: -6r - 10s + 8r + 4s - 6 = ? I HOPE YOU CAN HELP HER UNDERSTAND

Question 159668: MY DAUGHTER IS HAVING TROUBLE WITH EVALUATING EXPRESSIONS AND COMBINING LIKE TERMS. HERE IS ONE OF HER PROBLEMS: -6r - 10s + 8r + 4s - 6 = ?
I HOPE YOU CAN HELP HER UNDERSTAND HOW TO DO THIS PROBLEM. THANK YOU
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
-6r - 10s + 8r + 4s - 6
.
Begin by grouping like-terms together thus:
(-6r + 8r) + (-10s + 4s) - 6
.
Now combine the terms inside each parentheses:
(2r) + (-6s) - 6
.
Removing the parentheses:
2r - 6s - 6
.
Now, looking at each of the terms above, they have a common factor of 2 -- pull it out:
2(r - 3s - 3)
.
That's it, you're done.
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