Consider the system of equations:

\[ a + 2b + 3c + \ldots + 26z = 2020 \]
\[ b + 2c + 3d + \ldots + 26a = 2019 \]
\[ \vdots \]
\[ y + 2z + 3a + \ldots + 26x = 1996 \]
\[ z + 2a + 3b + \ldots + 26y = 1995 \]

where each equation is a rearrangement of the first equation with the variables cycling and the coefficients staying in place. Find the value of:

\[ z + 2y + 3x + \ldots + 26a \]

Let's think step by step and output the final answer within \boxed{}.
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