Respuesta :
Final Answer: [tex]d = -\frac{1}{4}[/tex]
Steps/Reasons/Explanation:
Question: Equations with variables on both sides: decimals & fractions, [tex]6d - \frac{11}{2} = 2d - \frac{13}{2}[/tex].
Step 1: Subtract [tex]2d[/tex] from both sides.
[tex]6d - \frac{11}{2} - 2d = -\frac{13}{2}[/tex]
Step 2: Simplify [tex]6d - \frac{11}{2} - 2d[/tex] to [tex]4d - \frac{11}{2}[/tex].
[tex]4d - \frac{11}{2} = -\frac{13}{2}[/tex]
Step 3: Add [tex]\frac{11}{2}[/tex] to both sides.
[tex]4d = -\frac{13}{2} + \frac{11}{2}[/tex]
Step 4: Simplify [tex]-\frac{13}{2} + \frac{11}{2}[/tex] to [tex]-1[/tex].
[tex]4d = -1[/tex]
Step 5: Divide both sides by [tex]4[/tex].
[tex]d = -\frac{1}{4}[/tex]
~I hope I helped you :)~