Respuesta :

6d-24=11d-18d-54

6d-24=-7d-54

Move -7d to the other side

Sign changes from -7d to -7d

6d+7d-24=-7d+7d-54

13d-24=-54

Move -24 to the other side

Sign changes from -24 to +24

13d-24+24=-54+24

13d=-54+24

13d=-30

divide both sides by 13 to get d by itself

13d/13=-30/13

Answer:

d=-30/13

Answer:

[tex]d=-\frac{30}{13}[/tex]

Step-by-step explanation:

The given equation is

[tex]6d-24=11d-18d-54[/tex]

We need to find the value of d.

Combined like terms on the right side.

[tex]6d-24=(11d-18d)-54[/tex]

[tex]6d-24=-7d-54[/tex]

Add 7d on both sides.

[tex]6d-24+7d=-7d-54+7d[/tex]

[tex]13d-24=-54[/tex]

Add 24 on both sides.

[tex]13d-24+24=-54+24[/tex]

[tex]13d=-30[/tex]

Divide both sides by 13.

[tex]d=-\frac{30}{13}[/tex]

Therefore, the value of d is [tex]d=-\frac{30}{13}[/tex].