\[|a| + 5b = 4b + 1\]
\[5 - 4b = 1 - |a|\]
\[b = 1 - |a|\]
\[a = - 5:\]
\[b = 1 - | - 5| = 1 - 5 = - 4.\]
\[a = 0:\]
\[b = 1 - |0| = 1 - 0 = 1.\]
\[a = 4:\]
\[b = 1 - |4| = 1 - 4 = - 3.\]