Questions: Solve for u. 49 + 4u = 11u

Solve for u. 49 + 4u = 11u
Transcript text: Solve for $u$. \[ 49+4 u=11 u \]
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Solution

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Solution Steps

Step 1: Isolate the Variable Terms

Start by moving all terms involving \( u \) to one side of the equation. Subtract \( 4u \) from both sides:

\[ 49 + 4u - 4u = 11u - 4u \]

This simplifies to:

\[ 49 = 7u \]

Step 2: Solve for \( u \)

To solve for \( u \), divide both sides of the equation by 7:

\[ u = \frac{49}{7} \]

This simplifies to:

\[ u = 7 \]

Final Answer

\[ \boxed{u = 7} \]

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