To solve the equation \( 13u = 5u + 16 \), follow these steps:

1. Subtract \( 5u \) from both sides to get all terms involving \( u \) on one side:
   \[
   13u - 5u = 16
   \]
   Simplifying:
   \[
   8u = 16
   \]

2. Now, divide both sides by 8 to solve for \( u \):
   \[
   u = \frac{16}{8} = 2
   \]

Thus, \( u = 2 \).

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. What would the solution be if the equation was \( 13u = 5u + 10 \)?
2. How would you solve \( 7u + 4 = 3u + 12 \)?
3. What happens if \( u = 0 \) in a similar equation like \( 13u = 5u + c \)?
4. Can you solve \( 4u + 7 = 9u - 3 \)?
5. How do you solve an equation with fractions, like \( \frac{3u}{2} = \frac{5u}{4} + 8 \)?

**Tip:** When solving equations, always aim to isolate the variable on one side by performing inverse operations.

Learn how to solve the linear equation 13u = 5u + 16 using basic algebraic techniques. This detailed guide walks through subtracting variables, simplifying, and isolating the unknown, making it ideal for students in Grades 6-8.

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