Questions: Solve for u. 2 u+3 u=20 Simplify your answer as much as possible. u=

Solve for u. 2 u+3 u=20 Simplify your answer as much as possible. u=
Transcript text: Solve for $u$. \[ 2 u+3 u=20 \] Simplify your answer as much as possible. \[ u= \]
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Solution

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Solution Steps

To solve the equation \(2u + 3u = 20\), we first combine like terms on the left side of the equation. This simplifies to \(5u = 20\). Next, we solve for \(u\) by dividing both sides of the equation by 5.

Step 1: Combine Like Terms

We start with the equation: \[ 2u + 3u = 20 \] Combining the like terms on the left side gives us: \[ 5u = 20 \]

Step 2: Solve for \(u\)

To isolate \(u\), we divide both sides of the equation by 5: \[ u = \frac{20}{5} \]

Step 3: Simplify the Expression

Calculating the right side, we find: \[ u = 4.0 \]

Final Answer

\(\boxed{u = 4}\)

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