4. Simplify each expression by combinim terms. 233 a. $$ 21.7-4 j-3.5 k+2.3 j-14.9-8.2 k $$ b. $$ -\frac{1}{3}+\frac{3}{2} m+\frac{1}{9}-\frac{1}{2} m $$

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**a. Simplify**

We start with the expression  
$$
21.7 - 4j - 3.5k + 2.3j - 14.9 - 8.2k.
$$

1. **Combine constant terms:**  
   $$
   21.7 - 14.9 = 6.8.
   $$

2. **Combine $$ j $$-terms:**  
   $$
   -4j + 2.3j = -1.7j.
   $$

3. **Combine $$ k $$-terms:**  
   $$
   -3.5k - 8.2k = -11.7k.
   $$

Thus, the simplified expression is  
$$
6.8 - 1.7j - 11.7k.
$$

**b. Simplify**

We start with the expression  
$$
-\frac{1}{3} + \frac{3}{2} m + \frac{1}{9} - \frac{1}{2} m.
$$

1. **Combine constant terms:**  
   To add $$ -\frac{1}{3} $$ and $$ \frac{1}{9} $$, find a common denominator (which is 9):
   $$
   -\frac{1}{3} = -\frac{3}{9}, \quad \text{so} \quad -\frac{3}{9} + \frac{1}{9} = -\frac{2}{9}.
   $$

2. **Combine $$ m $$-terms:**  
   $$
   \frac{3}{2}m - \frac{1}{2}m = \frac{2}{2}m = m.
   $$

Thus, the simplified expression is  
$$
m - \frac{2}{9}.
$$
**a. Simplify** $$ 6.8 - 1.7j - 11.7k $$ **b. Simplify** $$ m - \frac{2}{9} $$

Simplify each expression by combinim
terms. 233
a.
b.

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Simplify each expression by combinim terms. 233 a. b.