1. **State the problem:** Simplify the expression $$6t^2 + (-10t^2) + (-4t^2) + (-10t^2) + 8t^2 + (-8t^2)$$.
2. **Combine like terms:** Since all terms are multiples of $t^2$, we can add their coefficients.
3. Write the sum of coefficients:
$$6 + (-10) + (-4) + (-10) + 8 + (-8)$$
4. Simplify step-by-step:
$$6 - 10 = -4$$
$$-4 - 4 = -8$$
$$-8 - 10 = -18$$
$$-18 + 8 = -10$$
$$-10 - 8 = -18$$
5. So the sum of coefficients is $$-18$$.
6. Therefore, the simplified expression is:
$$-18t^2$$.
**Final answer:** $$-18t^2$$.
Simplify Expression Ca8056
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