To find the value of c, we need to sum all the terms from -1 to 2023.

We can observe that the terms alternate between positive and negative. The sum of the positive terms is 3 + 7 + 11 + ... + 2023, which is an arithmetic series with a common difference of 4. We can use the formula for the sum of an arithmetic series to find this sum:

Sum of positive terms = (n/2)(first term + last term)
= (2023/2)(3 + 2023)
= 1011(2026)
= 2,049,186

Similarly, the sum of the negative terms is -1 - 5 - 9 - ... - 2021, which is also an arithmetic series with a common difference of 4. We can use the same formula to find this sum:

Sum of negative terms = (n/2)(first term + last term)
= (1011/2)(-1 + -2021)
= -1011(2020)
= -2,044,220

Finally, we can find the value of c by subtracting the sum of the negative terms from the sum of the positive terms:

c = Sum of positive terms - Sum of negative terms
= 2,049,186 - (-2,044,220)
= 2,049,186 + 2,044,220
= 4,093,406

Therefore, c = 4,093,406.