2 answers:
I'm assuming you want to solve for z :)
By simplifying both sides of the equation, then isolating the variable.
Exact form:
z= -5/3 , - 11/3
Mixed number form:
z= −1 2/3 , −3 2/3
Answer:
There are two solutions, -5/3 and -11/3
Step-by-step explanation:
Move -5 to the right side and add:
-5 | 3x + 8 | = -15
Get rid of the absolute-value bars by splitting them into negative and positive cases.
Solve negative case
-5 ( 3z + 8 ) = -15
Distribute or Multiply:
-15z - 40 = -15
Rearrange and Add:
-15z = 55
Divide both sides by 15:
-z= 11/3
Multiply both sides by -1:
z= -11/3
Solve negative case
5 ( 3z + 8 ) = -15
Distribute or Multiply:
15z + 40 = 15
Rearrange and Add:
15z = -25
Divide both sides by 15:
z = -(5/3)
Answer
z=-11/3
z=-5/3
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