1. **Problem Statement:** Find the sum of the integers $6 + (-3)$. This is an example of adding integers with different signs. 2. **Formula and Rules:** When adding integers with different signs, subtract their absolute values and give the result the sign of the integer with the greater absolute value. 3. **Step-by-step Solution:** - Calculate the absolute values: $|6| = 6$ and $|-3| = 3$. - Subtract the smaller absolute value from the larger: $$6 - 3 = 3$$ - Since $|6| > |-3|$, the result takes the sign of $6$, which is positive. 4. **Final Answer:** $$6 + (-3) = 3$$ This means the sum of $6$ and $-3$ is $3$.