Question

10(d+3)–(−9d–4)=d–5+3

What value of d makes the equation TRUE?

Answer 1

d=-2

Explanation:

We have

`10(d+3)-(-9d-4)=d-5+3`

now we remove parenthesis and use distribution property

`10d+30+9d+4=d-5+3`

now we combine like terms

`10d+9d+30+4=d-2`

`19d+34=d-2`

`19d-d+34=-2` (subtract d from both side )

`18d=-2-34` ( subtract 34 from both side )

`18d=-36`

`d=(-36)/(18)` ( divide both side by 18)

`d=-2`

Answer 2

ANSWER

The value of d that makes the equation true is


`d = - 2`



EXPLANATION

The given equation is


`10(d + 3) - ( - 9d - 4) = d - 5 + 3`


We expand brackets to obtain,


`10d + 30 + 9d + 4= d - 5 + 3`


We group like terms to obtain,


`10d +9d - d = - 30 - 5 + 3 - 4`


This simplifies to



`18d = - 36`


We divide both sides by 18 to get,


`d = - 2`