First expand [tex]3\left(d-8\right)-5[/tex]
[tex]\mathrm{Distribute\:parentheses\:using}:\ \:a\left(b+c\right)=ab+ac [/tex]
[tex]Where\; a=3,\:b=d,\:c=-8[/tex]
[tex]3\cdot \:d+3\left(-8\right) \ \textgreater \ \mathrm{Apply\:minus-plus\:rules} \ \textgreater \ +\left(-a\right)=-a \ \textgreater \ 3d-3\cdot \:8[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:8=24 \ \textgreater \ 3d-24 \ \textgreater \ 3d-24-5 [/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:-24-5=-29 \ \textgreater \ 3d-29[/tex]
Now expand [tex]9\left(d+2\right)+1[/tex]
[tex]\mathrm{Distribute\:parentheses\:using}:\ \:a\left(b+c\right)=ab+ac[/tex]
[tex]Where\; a=9,\:b=d,\:c=2[/tex]
[tex]9\cdot \:d+9\cdot \:2 \ \textgreater \ \mathrm{Multiply\:the\:numbers:}\:9\cdot \:2=18 \ \textgreater \ 9d+18[/tex]
[tex]9d+18+1 \ \textgreater \ \mathrm{Add\:the\:numbers:}\:18+1=19 \ \textgreater \ 9d+19[/tex]
Now we have [tex]3d-29=9d+19[/tex]
[tex]\mathrm{Add\:}29\mathrm{\:to\:both\:sides} \ \textgreater \ 3d-29+29=9d+19+29 \ \textgreater \ \mathrm{Simplify}[/tex]
[tex]3d=9d+48 \ \textgreater \ \mathrm{Subtract\:}9d\mathrm{\:from\:both\:sides} \ \textgreater \ 3d-9d=9d+48-9d [/tex]
[tex]Simplify\;again\; \ \textgreater \ -6d=48 \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}-6 \ \textgreater \ \frac{-6d}{-6}=\frac{48}{-6}[/tex]
[tex]Simplify\;once\;more\;\ \textgreater \ d=-8[/tex]
Hope this helps!
