Question
Solve for \( u \). \[ 14 u=7 u+14 \] Simplify your answer as much as possible. \( u=\Pi \square \)
Ask by Sherman Page. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( u = 2 \)
Solution
To solve for \( u \) in the equation:
\[
14u = 7u + 14
\]
**Step 1:** Subtract \( 7u \) from both sides to isolate the terms containing \( u \):
\[
14u - 7u = 14
\]
\[
7u = 14
\]
**Step 2:** Divide both sides by 7 to solve for \( u \):
\[
u = \frac{14}{7}
\]
\[
u = 2
\]
**Final Answer:**
\[
u = 2
\]
Reviewed and approved by the UpStudy tutoring team
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The Deep Dive
To solve the equation \( 14u = 7u + 14 \), first, we will isolate the variable \( u \). Subtract \( 7u \) from both sides: \[ 14u - 7u = 14 \] This simplifies to: \[ 7u = 14 \] Now, divide both sides by 7: \[ u = \frac{14}{7} \] This simplifies to: \[ u = 2 \] So, the simplified answer is: \( u=2 \)