3(2d - 7) = (2 + 4d)2 i need the steps

3(2d - 7) = (2 + 4d)2

distribute

3*2d -3*7 = 2*2 +2*4d

multiply

6d -21 = 4 +8d

subtract 6d from each side

6d-6d-21 = 4 +8d-6d

-21 = 4+2d

subtract 4 from each side

-21 -4 =4+2d-4

-25 =2d

divide by 2

-25/2 =d

Hannah and Francine have $120. Hannah and Peter have $230. Peter has 6 times as much as much money as Francine.

Let the amount with Hannah be represented by x.

As Hannah and Francine have $120, the amount with Francine is 120 - x

As Hannah and Peter have $230, the amount with Peter is 230 - x

Now Peter has 6 times as much as much money as Francine. This gives:

230 - x = 6*(120 - x)

230 - x = 720 - 6x

5x = 490

x = 490/5

x = 98

This gives the amount with Hannah as $98