1. **State the problem:** Find the sum of the arithmetic series $$\sum_{i=1}^{18} (14 - 6i)$$.
2. **Formula used:** The sum of an arithmetic series with $n$ terms, first term $a_1$, and last term $a_n$ is given by:
$$S_n = \frac{n}{2}(a_1 + a_n)$$
3. **Find the first term $a_1$:** Substitute $i=1$ into the expression:
$$a_1 = 14 - 6(1) = 14 - 6 = 8$$
4. **Find the last term $a_{18}$:** Substitute $i=18$:
$$a_{18} = 14 - 6(18) = 14 - 108 = -94$$
5. **Number of terms:** $n = 18$
6. **Calculate the sum:**
$$S_{18} = \frac{18}{2}(8 + (-94)) = 9 \times (8 - 94) = 9 \times (-86) = -774$$
**Final answer:**
$$\boxed{-774}$$
Arithmetic Series Sum E36222
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