Find the sum of all of the integers in the set $\{-18,27,54,254,754,1036,3254\}$ that are congruent to 6 modulo 8.

$$\small{\text{ Find the sum of all of the integers }}\\ \small{\text{ in the set $\{-18,27,54,254,754,1036,3254\}$ }}\\ \small{\text{ that are congruent to 6 modulo 8. }}$$

$$\small{\text{$ \begin{array}{rcl} -18 \equiv -2 & \equiv & 6 \pmod{8} \\ 27 \equiv 3 & \not\equiv & 6 \pmod{8} \\ 54 \equiv 6 & \equiv & 6 \pmod{8} \\ 254 \equiv 6 & \equiv & 6 \pmod{8} \\ 754 \equiv 2 & \not\equiv & 6 \pmod{8} \\ 1036 \equiv 4 & \not\equiv & 6 \pmod{8} \\ 3254 \equiv 6 & \equiv & 6 \pmod{8} \\ \end{array} $}}$$

the sum is -18 + 54 + 254 + 3254 = 3544