#(7/4)z - 1/6 = 17 / 6 + (3/4)z#
#(7/4)z - (3/4)z = 17 / 6 + 1/6, " bringing like terms together"#
#((7 - 3) / 4) z = (17 + 1) / 6, " combining terms using common denominator"#
#(cancel4/cancel4)z = (cancel(18)^color(red)(3) /cancel 6)#
#color(blue)(z = 3#