To solve the equation \( 4a + 5 = 2 + 3.25a \), follow these steps:

1. **Isolate the variable terms**: Subtract \( 3.25a \) from both sides to move the \( a \)-terms to one side.
   \[
   4a - 3.25a + 5 = 2
   \]

2. **Simplify**: Combine like terms.
   \[
   0.75a + 5 = 2
   \]

3. **Isolate the constant**: Subtract 5 from both sides.
   \[
   0.75a = 2 - 5
   \]
   \[
   0.75a = -3
   \]

4. **Solve for \( a \)**: Divide both sides by 0.75.
   \[
   a = \frac{-3}{0.75}
   \]
   \[
   a = -4
   \]

So, the solution is \( a = -4 \).

Would you like further details or have any questions?

Here are some related problems to try:

1. Solve \( 6a + 4 = 3 + 2.5a \).
2. Solve \( 5b + 8 = 3b + 14 \).
3. Solve \( 2x - 7 = 4x + 5 \).
4. Solve \( 3.5p + 6 = 9 + 1.5p \).
5. Solve \( 10y + 3 = 5y + 15 \).

**Tip**: When solving linear equations, try to move all the variable terms to one side and the constants to the other side before solving for the variable.

Discover how to solve the linear equation 4a + 5 = 2 + 3.25a with a step-by-step explanation. Learn to isolate variable terms, simplify expressions, and solve for 'a'. Perfect for students in Grades 7-9.

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