5. Solve each equation.

a. - 1/8d - 4 = - 3/8

-1/8d-4 = - 3/8

+4 + 4

-1/8d=29/8

d = - 29

-1/8d - 4 = - 3/8

move - 4 to the other side

sign changes from - 4 to + 4

-1/8d-4+4=-3/8+4

-1/8d=-3/8+4

pretend that 4 has a denominator which is 1

-1/8d=-3/8+4/1

find the common denominator for 4/1 which is 8

multiply by 8 for 4/1

4 (8) / 1 (8) = 32/8

-1/8d=-3/8+32/8

-1/8d=29/8

multiply both sides by - 8/1 to get + d

-1/8d*-8/1=29/8 (-8/1)

Cross out 8 and - 8, divide by 8 and then becomes 29*1*-1=-29

Cross out - 1/8 and - 8/1, divide by 8 and 1. Then becomes 1*1*d=d

Answer:

d=-29