8. Bimplify eompletely, $$ \frac{3}{4}(16 m-8)+9 m $$

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$
\frac{3}{4}(16m - 8) + 9m
$$

follow these steps:

### Step 1: Distribute $$\frac{3}{4}$$ to each term inside the parentheses

$$
\frac{3}{4} \times 16m + \frac{3}{4} \times (-8) + 9m
$$

### Step 2: Multiply the fractions

$$
\frac{3}{4} \times 16m = \frac{48m}{4} = 12m
$$
$$
\frac{3}{4} \times (-8) = \frac{-24}{4} = -6
$$

Now, substitute these back into the expression:

$$
12m - 6 + 9m
$$

### Step 3: Combine like terms

$$
12m + 9m - 6 = 21m - 6
$$

### Final Simplified Expression

$$
21m - 6
$$
Simplify the expression: $$ \frac{3}{4}(16m - 8) + 9m = 21m - 6 $$

8. Bimplify eompletely, \[ \frac{3}{4}(16 m-8)+9 m \]