[tex]14.\\4(2a+2)-17=15\\\\8a+8-17=15\\\\8a=15-8+17\\\\8a=24\ |:8\\\\a=\frac{24}{8}=3\\\\16.\\-4x+3(2x-5)=31\\\\-4x+6x-15=31\\\\2x=31+15\\\\ 2x=46\ |:2\\\\x=23\\\\17.\\-6-3(2k+4)=18\\\\-6-6k-12=18\\\\-6k=18+12+6\\\\-6k=36\ |:-6\\\\x=-6\\\\22.\\2x+\frac{3}{4}(4x+16)=7\\\\2x+\frac{12x}{4}+\frac{48}{4})=7\\\\2x+3x+12=7\\\\5x=7-12\\\\5x=-5\ |:5\\\\x=-1[/tex]