To solve the equation \(- (5d + 8) = 3(8 - d)\), follow these steps:

1. **Distribute the negative sign** on the left-hand side:
   \[
   -5d - 8 = 3(8 - d)
   \]

2. **Distribute the 3** on the right-hand side:
   \[
   -5d - 8 = 24 - 3d
   \]

3. **Move all terms involving \(d\)** to one side of the equation. Let's add \(3d\) to both sides:
   \[
   -5d + 3d - 8 = 24
   \]
   Simplify:
   \[
   -2d - 8 = 24
   \]

4. **Move the constant term** \(-8\) to the other side by adding 8 to both sides:
   \[
   -2d = 24 + 8
   \]
   Simplify:
   \[
   -2d = 32
   \]

5. **Solve for \(d\)** by dividing both sides by \(-2\):
   \[
   d = \frac{32}{-2} = -16
   \]

So, the solution is \(d = -16\).

Would you like more details on any of the steps, or do you have any other questions?

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Here are 5 related questions for further practice:
1. Solve the equation: \(3(2x - 4) = -5(x + 2)\).
2. What is the value of \(y\) in the equation \(4y - 7 = 3(2y + 1)\)?
3. Solve for \(z\) in the equation \(-2(z + 5) = 4 - 3z\).
4. If \(7 - 2t = 5(t + 1)\), what is the value of \(t\)?
5. Solve the equation: \(-3(4a - 2) = 5(2 - a)\).

**Tip:** When dealing with equations, always perform the same operation on both sides to maintain equality.

Learn how to solve the linear equation -(5d + 8) = 3(8 − d) with a detailed, step-by-step solution. This problem involves applying the distributive property and isolating the variable, making it suitable for students in Grades 6-8.

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