Simplify: –3(x – 5) – 8(y + 2) + (–3)(6 – 4b)
a.
–3x –8y – 12b – 15
b.
–3x –8y + 12b + 15
c.
–3x –8y + 12b + 20
d.
–3x –8y + 12b – 19

-3 (x - 5) - 8 (y + 2) + (-3) (6 - 4b)

First, simplify your brackets. / Your problem should look like: -3 (x - 5) - 8 (y + 2) + -3 (6 - 4b)
Second, simplify. / Your problem should look like: -3 (x - 5) - 8 (y + 2) - 3 (b - 4b)
Third, expand your problem. / Your problem should look like: -3x + 15 - 8y - 16 - 18 + 12b
Fourth, simplify. / Your problem should look like: -3x - 8y + 12b - 19

 -3x - 8y + 12b - 19 (D)

−3(x−5)−8(y+2)−3(6−4b)

Distribute:

=(−3)(x)+(−3)(−5)+(−8)(y)+(−8)(2)+(−3)(6)+(−3)(−4b)

=−3x+15+−8y+−16+−18+12b

Combine Like Terms:

=−3x+15+−8y+−16+−18+12b

=(12b)+(−3x)+(−8y)+(15+−16+−18)

=12b+−3x+−8y+−19