Final answer:
The solution to the equation -12.2z - 13.4z = -179.2 is z = 7, found by combining like terms and dividing both sides by the coefficient of z.
Step-by-step explanation:
The question is asking to solve the linear equation -12.2z - 13.4z = -179.2 for the variable z. To find the solution, we combine like terms and then divide both sides of the equation by the coefficient of z.
First, combine like terms:
-12.2z - 13.4z = -179.2
-25.6z = -179.2
Now divide both sides by -25.6 to isolate z:
z = -179.2 / -25.6
z = 7
The solution to the equation is z = 7.