Question

–24 + 12d = 2(d – 3) + 22 pog am in need of help

Answer 1

d = 4

Explanation:

Given

- 24 + 12d = 2(d - 3) + 22 ← distribute and simplify right side

- 24 + 12d = 2d - 6 + 22

- 24 + 12d = 2d + 16 ( subtract 2d from both sides )

- 24 + 10d = 16 ( add 24 to both sides )

10d = 40 ( divide both sides by 10 )

d = 4

Answer 2

`\boxed {d = 4}`

Explanation:

Solve for the value of
`d`:

`-24 + 12d = 2(d - 3) + 22`

-Use Distributive Property:

`-24 + 12d = 2(d - 3) + 22`

`-24 + 12d = 2d - 6 + 22`

-Combine like terms:

`-24 + 12d = 2d - 6 + 22`

`-24 + 12d = 2d +16`

-Take
`2d` and subtract it from
`12d`:

`-24 + 12d - 2d = 2d - 2d +16`

`-24 + 10d = 16`

-Add both sides by
`24`:

`-24 + 24 + 10d = 16 + 24`

`10d = 40`

-Divide both sides by
`10`:

`(10d)/(10) = (40)/(10)`

`\boxed {d = 4}`

Therefore, the value of
`d` is
`4`.