Question

How do you solve `-9(-3t + 8) = -13t + 48`?

Answer 1

`t = 3`

Explanation:

`-9(-3t + 8) = -13t + 48`

`"Order of Operations - "color(purple)(BEDMAS)`

`-9 * -3t - 9 * 8 = -13t + 48, " (Removing bracket)"`

`27t - 72 = -13t + 48, " (Multiplication, as also "color(brown)((-) * (-) = +)`

`27t + 13t = 48 + 72, "(Bringing like terms together)"`

`-40t = 120`

`t = cancel(120)^color(red)(3) / cancel40 = 3`

Answer 2

First expand the brackets.

Explanation:

This gives you:

`27t - 72 = -13t + 48`

Then you move the unknowns to one side and the integers to the other:

`27t + 13t = 48 + 72`

Then simplify.

`40t = 120`

`t = 3`

Answer 3

t=3

Explanation:

So here we multiply the number before the bracket with all the numbers in the bracket, let me explain.
`-9(-3t+8)=-13t+48`
`27t-72=-13t+48`
`40t - 72=48`
`40t=120`
`(40t)/40 = 120/40`
`t=3`