Let's solve the equation step by step:

Given:
\[
-(5a + 6) = 2(3a + 8)
\]

### Step 1: Distribute on both sides

First, distribute the negative sign on the left side:
\[
-5a - 6 = 2(3a + 8)
\]

Next, distribute the 2 on the right side:
\[
-5a - 6 = 6a + 16
\]

### Step 2: Get all the \(a\) terms on one side of the equation

Add \(5a\) to both sides to move the \(a\) terms to the right side:
\[
-6 = 6a + 5a + 16
\]

Simplify:
\[
-6 = 11a + 16
\]

### Step 3: Isolate \(a\)

Subtract 16 from both sides:
\[
-6 - 16 = 11a
\]
\[
-22 = 11a
\]

### Step 4: Solve for \(a\)
\[
a = \frac{-22}{11} = -2
\]

So, the solution is:
\[
a = -2
\]

Would you like more details or have any other questions?

Here are some related problems you might find interesting:

1. Solve \(-4(b + 2) = 3(2b + 5)\).
2. Solve \(-(7x - 9) = 2(4x - 3)\).
3. Solve \(5c - 3(2c + 7) = 4(3c - 1)\).
4. Simplify and solve \(-2(3m + 4) = 5(m - 2)\).
5. Solve the equation \(-7(2n + 5) = 3(5n - 4)\).

**Tip:** When dealing with negative signs in front of parentheses, be careful to distribute the sign correctly across all terms inside.

Learn how to solve the equation -5a - 6 = 6a + 16 with a detailed step-by-step solution. This problem involves basic algebraic equations and the distributive property. Suitable for students in Grades 7-9.

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