https://file.aiquickdraw.com/mathbot/file/1725950576194fienr830.jpg

Let's solve the equation step by step.

The equation is:

\[
8a = 6(a - 4) + 2
\]

### Step 1: Distribute the 6 on the right-hand side.
\[
8a = 6a - 24 + 2
\]

### Step 2: Simplify the right-hand side.
\[
8a = 6a - 22
\]

### Step 3: Subtract \(6a\) from both sides to isolate the terms involving \(a\).
\[
8a - 6a = -22
\]
\[
2a = -22
\]

### Step 4: Divide both sides by 2 to solve for \(a\).
\[
a = \frac{-22}{2}
\]
\[
a = -11
\]

The solution is \(a = -11\).

Would you like more details or have any questions?

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Here are 5 related questions for further practice:
1. Solve: \(5x + 3 = 2x - 6\).
2. If \(3y + 8 = 5y - 4\), what is the value of \(y\)?
3. Solve for \(x\): \(4(x - 2) = 12 + x\).
4. What is the solution to \(7z - 3 = 2(3z + 5)\)?
5. Find \(x\) in the equation \(9x - 7 = 4x + 13\).

**Tip:** Always simplify both sides of an equation as much as possible before solving for the variable.

Solve the equation to find a: 8a = 6(a - 4) + 2

Learn how to solve the linear equation 8a = 6(a - 4) + 2 step by step. This solution involves key algebraic techniques like distribution and isolating variables. Suitable for students in Grades 7-9.

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