Question
Rewrite in simplest terms: 5, left parenthesis, minus, 9, q, plus, 7, right parenthesis, plus, 3, left parenthesis, 5, q, plus, 5, right parenthesis5(−9q+7)+3(5q+5)
Answers
Answered by
GPT-4o mini
Let's simplify the expression step by step:
1. Distribute the 5 into the first parentheses:
\( 5(-9q + 7) = -45q + 35 \)
2. Distribute the 3 into the second parentheses:
\( 3(5q + 5) = 15q + 15 \)
3. Now combine the results of both distributions:
\(-45q + 35 + 15q + 15\)
4. Combine the like terms:
\(-45q + 15q = -30q\)
\(35 + 15 = 50\)
So, the simplified expression is:
\(-30q + 50\)
1. Distribute the 5 into the first parentheses:
\( 5(-9q + 7) = -45q + 35 \)
2. Distribute the 3 into the second parentheses:
\( 3(5q + 5) = 15q + 15 \)
3. Now combine the results of both distributions:
\(-45q + 35 + 15q + 15\)
4. Combine the like terms:
\(-45q + 15q = -30q\)
\(35 + 15 = 50\)
So, the simplified expression is:
\(-30q + 50\)