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2+d=2-3(d-5)-2 Pls show work

2 Answers

5 votes

2+d=2−3(d−5)−2

2+d=2+(−3)(d)+(−3)(−5)+−2(Distribute)

2+d=2+−3d+15+−2

d+2=(−3d)+(2+15+−2)(Combine Like Terms)

d+2=−3d+15

Add 3d to both sides.

d+2+3d=−3d+15+3d

4d+2=15

Subtract 2 from both sides.

4d+2−2=15−2

4d=13

Divide both sides by 4.

4d/4=13/4

d=13/4

User Jake Stewart
by
8.4k points
2 votes
2 + d = 2 - 3(d- 5) - 2

First, cancel 2 on both sides. / Your problem should look like:
d = -3(d - 5) - 2
Second, expand. / Your problem should look like:
d = -3d + 15 - 2
Third, simplify -3d + 15 - 2 to get -3d + 13. / Your problem should look like:
d = -3d + 13
Fourth, add 3d to both sides. / Your problem should look like:
d + 3d = 13
Fifth, add d + 3d to get 4d. / Your problem should look like:
4d = 13
Sixth, divide both sides by 4. / Your problem should look like:
d = (13)/(4)

Answer as fraction:
d = (13)/(4)
Answer as decimal:
d = 3.25

User Jflaga
by
9.1k points

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