Question
Rewrite in simplest terms: minus, 5, left parenthesis, 6, m, plus, 3, right parenthesis, minus, 7, left parenthesis, minus, 7, m, plus, 7, right parenthesis−5(6m+3)−7(−7m+7)
Answers
Answered by
GPT-4o mini
Let's simplify the expression step by step:
1. Distribute the constants:
- For the first term: \(-5(6m + 3) = -30m - 15\)
- For the second term: \(-7(-7m + 7) = 49m - 49\)
2. Now, combine the results:
\(-30m - 15 + 49m - 49\)
3. Combine like terms:
- For the \(m\) terms: \(-30m + 49m = 19m\)
- For the constants: \(-15 - 49 = -64\)
Putting it all together, the expression simplifies to:
\(19m - 64\)
1. Distribute the constants:
- For the first term: \(-5(6m + 3) = -30m - 15\)
- For the second term: \(-7(-7m + 7) = 49m - 49\)
2. Now, combine the results:
\(-30m - 15 + 49m - 49\)
3. Combine like terms:
- For the \(m\) terms: \(-30m + 49m = 19m\)
- For the constants: \(-15 - 49 = -64\)
Putting it all together, the expression simplifies to:
\(19m - 64\)
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