Question

5. Solve each equation.
a. -1/8d - 4 = -3/8

Answer 1

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

-1/8d=29/8

d= -29

Answer 2

-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