Question
Rewrite in simplest terms: minus, 4, left parenthesis, 10, u, minus, 3, right parenthesis, plus, 7, u−4(10u−3)+7u
Answers
Answered by
GPT-4o mini
To simplify the expression \(-4(10u - 3) + 7u\), follow these steps:
1. Distribute \(-4\) to both terms inside the parentheses:
\[
-4 \cdot 10u + (-4) \cdot (-3) = -40u + 12
\]
2. Now, add \(7u\) to the result:
\[
-40u + 12 + 7u
\]
3. Combine like terms:
\[
(-40u + 7u) + 12 = -33u + 12
\]
So, the simplified expression is:
\[
-33u + 12
\]
1. Distribute \(-4\) to both terms inside the parentheses:
\[
-4 \cdot 10u + (-4) \cdot (-3) = -40u + 12
\]
2. Now, add \(7u\) to the result:
\[
-40u + 12 + 7u
\]
3. Combine like terms:
\[
(-40u + 7u) + 12 = -33u + 12
\]
So, the simplified expression is:
\[
-33u + 12
\]
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