  Understanding and controlling the electrical properties of solution-processed
2D materials is key to further printed electronics progress. Here we
demonstrate that the thermolysis of the aromatic intercalants utilized in
nanosheet exfoliation for graphene laminates opens the route to achieving high
intrinsic mobility and simultaneously controlling doping type ($n$- and $p$-)
and concentration over a wide range. We establish that the intra-flake mobility
is high by observing a linear magnetoresistance of such solution-processed
graphene laminates and using it to devolve the inter-flake tunneling and
intra-layer magnetotransport. Consequently, we determine the temperature
dependences of the inter- and intra-layer characteristics, which both appear to
be dominated by phonon-assisted processes at temperature $T>$20 Kelvin. In
particular, we identify the efficiency of phonon-assisted tunneling as the main
limiting factor for electrical conductivity in graphene laminates at room
temperature. We also demonstrate a thermoelectric sensitivity of around 50
${\mu}$V K$^{-1}$ in a solution-processed metal-free graphene-based
thermocouple.
