We are asked to translate a word problem to an algebraic equation and then solve it.
The difference of -2d and -3d is equal to the difference of 1/6 and 1/3
We know that difference means subtraction.
So the algebraic equation becomes
[tex]-2d-(-3d)=\frac{1}{6}-\frac{1}{3}[/tex]
We know that negative multiply negative becomes positive
[tex]-2d+3d=\frac{1}{6}-\frac{1}{3}[/tex]
Now let us solve this equation for d
[tex]\begin{gathered} -2d+3d=\frac{1}{6}-\frac{1}{3} \\ d=\frac{1}{6}-\frac{1}{3} \\ d=\frac{3-6}{3\times6} \\ d=\frac{-3}{3\times6} \\ d=\frac{-1}{6} \\ d=-\frac{1}{6} \end{gathered}[/tex]
Therefore, the solution of the equation is d = -1/6
