Solve absolute value equations

1) | b/5 | = 1

2) 2-5|5m-5|= -73

3) |7p+4| / 8 = 3

4) 5-8|-2n| = -75

1. |b/5|=1 take the equation out of the absolute value
b/5=1
*5 *5 multiply both sides by 5

b=5

2. 2-5|5m-5|=-73 get rid of what's outside the absolute value first
-2 -2 subtract 2 from both sides

-5|5m-5|=-75
÷-5 ÷-5 divide both sides by -5

|5m-5|=15 take the equation out of the absolute value
5m-5=15
+5 +5 add 5 to both sides

5m=20
÷5 ÷5 divide both sides by 5

m=4

3. |7p+4|/8=3
*8 *8 multiply by 8

|7p+4|=25 take out the equation
7p+4=25
-4 -4 subtract 4

7p=20
÷7 ÷7 divide by 7

p=20/7

4. 5-8|-2n|=-80
+5 +5 add 5

-8|-2n|=-80
÷-8 ÷-8 divide by -8

|-2n|=10 take out equation
-2n=10
÷-2 ÷-2 divide by -2

n=-5

that took forever to type lol :^)

Given:

A synthetic division problem.

To find:

The missing number it in the given synthetic division problem.

Solution:

The given synthetic division problem is:

           

     

In synthetic division, we need to add first and second row to get the bottom row.

Similarly,

Therefore, the missing value in the given synthetic problem is 10. Hence, the correct option is C.