Let's solve the equation step by step:

Given equation: 
\[
2a + a + (a + 10) = 180
\]

1. First, simplify the left-hand side by combining like terms:
\[
2a + a + a + 10 = 180
\]
This simplifies to:
\[
4a + 10 = 180
\]

2. Now, subtract 10 from both sides to isolate the terms with \( a \):
\[
4a = 180 - 10
\]
\[
4a = 170
\]

3. Divide both sides by 4 to solve for \( a \):
\[
a = \frac{170}{4} = 42.5
\]

So, the solution is:
\[
a = 42.5
\]

Would you like a more detailed explanation or have any questions?

Here are 5 related questions for practice:
1. Solve \( 3a + 5 + 2a = 100 \).
2. If \( 5a + 10 = 50 \), what is \( a \)?
3. Solve \( 7b + 2 + 3b - 5 = 75 \).
4. Solve \( 6x + x + 12 = 80 \).
5. Solve \( 9y + 5 + y + 3 = 100 \).

**Tip:** Always combine like terms (variables and constants) to simplify equations early in the process!

Learn how to solve the linear equation 2a + a + (a + 10) = 180 with a detailed step-by-step explanation. This problem covers fundamental algebraic concepts like combining like terms and solving for variables. Suitable for students in Grades 6-8.

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