SOLUTION: Simplify by combining like terms: 2(4s - 3t) + 7s + 5t A) 15s + 2t B) s + 2t C) 11s - 2t D) 15s

SOLUTION: Simplify by combining like terms: 2(4s - 3t) + 7s + 5t A) 15s + 2t B) s + 2t C) 11s - 2t D) 15s - t

Question 73972: Simplify by combining like terms: 2(4s - 3t) + 7s + 5t
A) 15s + 2t
B) s + 2t
C) 11s - 2t
D) 15s - t

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
2(4s - 3t) + 7s + 5t
.
Begin by doing the distributed multiplication of the terms in the parentheses. Multiply
the 2 times the 4s to get 8s and then multiply the 2 times the -3t to get -6t.
.
Put these results into the equation in place of the multiplication to get:
.
8s - 6t + 7s + 5t
.
You can now add the two terms that have an s ... 8s + 7s = 15s
.
And you can also add the two terms that have t in them ... -6t + 5t = -t
.
And therefore you now have the answer of 15s - t
.
This is answer D on your list of possible answers.
.
I hope this helps you to understand how you can solve problems such as these by using a few
rules of basic algebra.
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