Question

How do you solve `-33.2d - 3( - 5.2d - 99.28) = - 53.9d - 100- 99.47`?

Answer 1

`d=-13.7` exactly

For the process, see the explanation.

Explanation:

Solve:

`-33.2d-3(-5.2d-99.28)=-53.9d-100-99.47`

Expand the left side.

`-33.2d+(3xx5.2d)+(3xx99.28)=-53.9d-100-99.47`

Simplify.

`-33.2d+15.6d+297.84=-53.9d-100-99.47`

Add `53.9d` to both sides of the equation.

`53.9d-33.2d+15.6d+297.84=-53.9d+53.9d-100-99.47`

Simplify.

`36.3d+297.84=-color(red)cancel(color(black)(53.9d))+color(red)cancel(color(black)(53.9d))-100-99.47`

`36.3d+297.84=-100-99.47`

Subtract `297.84` from both sides.

`36.3d+color(red)cancel(color(black)(297.84))-color(red)cancel(color(black)(297.84))=-100-99-297.84`

Simplify.

`36.3d=-100-99.47-297.84`

`36.3d=-497.31`

Divide both sides by `36.3`.

`(color(red)cancel(color(black)(36.3))d)/color(red)cancel(color(black)(36.3))=(-497.31)/36.3`

Simplify.

`d=-13.7` exactly