How many solutions does this equation have? $$ 15 h+14-19 h=4 h-18 $$

Question

UpStudy AI · Accepted Answer

To determine how many solutions the equation

$$
15 h + 14 - 19 h = 4 h - 18
$$

has, let's solve for $$ h $$.

1. **Combine like terms on the left side:**

$$
15h - 19h + 14 = 4h - 18
$$

$$
-4h + 14 = 4h - 18
$$

2. **Move all terms involving $$ h $$ to one side and constants to the other:**

$$
-4h - 4h = -18 - 14
$$

$$
-8h = -32
$$

3. **Solve for $$ h $$:**

$$
h = \frac{-32}{-8} = 4
$$

**Conclusion:** There is exactly one solution to the equation, which is $$ h = 4 $$.

**Answer:** Exactly one solution exists, with h equal to four.
There is one solution: $$ h = 4 $$.

How many solutions does this equation have? \[ 15 h+14-19 h=4 h-18 \]