Question
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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:** \[ u = 2 \]

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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: \( u=2 \)

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