To simplify the expression:

\[
10u + 5u - 9
\]

1. Combine the like terms \(10u\) and \(5u\):

\[
(10 + 5)u = 15u
\]

2. Then, the expression becomes:

\[
15u - 9
\]

So, the simplified expression is:

\[
15u - 9
\]

Would you like further details, or have any questions?

Here are some related questions for further practice:
1. Simplify \(8x + 12x - 3\).
2. Factor the expression \(15u - 9\).
3. Evaluate \(15u - 9\) when \(u = 2\).
4. Simplify \(20v - 5v + 12\).
5. Solve for \(u\) in the equation \(15u - 9 = 21\).

**Tip:** When simplifying expressions, always start by combining like terms for easier calculations.

This solution explains how to simplify the algebraic expression 10u + 5u - 9 by combining like terms. Learn step-by-step techniques suitable for students in Grades 6-8, focusing on algebraic simplification and handling coefficients.

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