How many solutions does this equation have? $$ -11 d+15-13 d=-3(8 d-5) $$

Question

UpStudy AI · Accepted Answer

To determine how many solutions the equation has:

$$
-11d + 15 - 13d = -3(8d - 5)
$$

Let's simplify both sides:

1. **Combine like terms on the left side:**
   
   $$
   -11d - 13d + 15 = -24d + 15
   $$

2. **Expand the right side:**

$$
   -3(8d - 5) = -24d + 15
   $$

Now, the equation looks like:

$$
-24d + 15 = -24d + 15
$$

Subtract $$-24d$$ from both sides:

$$
15 = 15
$$

This simplifies to a true statement, meaning that **every real number** for $$d$$ satisfies the equation.

**Conclusion:** There are infinitely many solutions.
There are infinitely many solutions.

How many solutions does this equation have? \[ -11 d+15-13 d=-3(8 d-5) \]