a)
[tex]4(3a+5)+3(5a-2)=4\cdot3a+4\cdot5+3\cdot5a-3\cdot2=\\\\=12a+20+15a-6=12a+15a+20-6=\boxed{27a+14}[/tex]
b)
[tex]2(7p-3)-5(3p-1)=2\cdot7p-2\cdot3-5\cdot3p-5\cdot(-1)=\\\\=14p-6-15p+5=14p-15p-6+5=\boxed{-p-1}[/tex]
c)
[tex]-5(2-3m)-2(m+8)=-5\cdot2-5\cdot(-3m)-2\cdot m-2\cdot8=\\\\=-10+15m-2m-16=15m-2m-10-16=\boxed{13m-26}[/tex]
d)
[tex]2x(3x-4)-x(5-2x)=2x\cdot3x-2x\cdot4-x\cdot5-x\cdot(-2x)=\\\\=6x^2-8x-5x+2x^2=6x^2+2x^2-8x-5x=\boxed{8x^2-13x}[/tex]
e)
[tex]3u(2-4u)-5u(u+3)=3u\cdot2-3u\cdot4u-5u\cdot u-5u\cdot3=\\\\=6u-12u^2-5u^2-15u=-12u^2-5u^2+6u-15u=\boxed{-17u^2-9u}[/tex]
f)
[tex]-5t(2t-1)-2(3-5t)=-5t\cdot2t-5t\cdot(-1)-2\cdot3-2\cdot(-5t)=\\\\=-10t^2+5t-6+10t=-10t^2+5t+10t-6=\boxed{-10t^2+15t-6}[/tex]
