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To solve for \( a \) in the equation:

\[
35 + 2a = 7a
\]

we’ll isolate \( a \) by following these steps:

### Step 1: Move terms involving \( a \) to one side
Subtract \( 2a \) from both sides to get:
\[
35 = 7a - 2a
\]

### Step 2: Simplify
Combine like terms on the right side:
\[
35 = 5a
\]

### Step 3: Solve for \( a \)
Divide both sides by 5:
\[
a = \frac{35}{5} = 7
\]

### Final Answer
\[
a = 7
\]

Would you like further details, or do you have any questions?

### Related Questions
1. What if the equation were \(35 + 2a = 8a\)? How would \( a \) change?
2. How would the solution change if the equation was \(35 - 2a = 7a\)?
3. How can we check if our solution for \( a \) is correct?
4. How would we solve if the equation were \(35 + 3a = 7a + 5\)?
5. How do we solve equations when the unknown variable appears in the denominator?

### Tip
When solving equations, always simplify by moving terms with the variable to one side and constants to the other before isolating the variable.

Learn how to solve for 'a' in the linear equation 35 + 2a = 7a. This solution provides a detailed, step-by-step approach to isolating the variable, making it suitable for students in Grades 7-9.

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