Solve for the variable in each of the following equations. Write the answer as an equation.

We will determine the value for each variable respectively as follows:
*1st:
[tex]-4t-6=14\Rightarrow-4t=20[/tex][tex]\Rightarrow t=-5[/tex]*2nd:
[tex]15=-1-2w\Rightarrow-2w=16[/tex][tex]\Rightarrow w=-8[/tex]*3rd:
[tex]\frac{8}{7}r+5=-11\Rightarrow\frac{8}{7}r=-16[/tex][tex]\Rightarrow r=-14[/tex]*4th:
[tex]\frac{1}{6}z-3=-1\Rightarrow\frac{1}{6}z=2[/tex][tex]\Rightarrow z=12[/tex]