Question

-4(z-12)=42 how can I solve?

Answer 1

Remember, you can do anything to an equation as long as you do it to both sides

-4(z-12)=42
you can distribute but it's easier to divide both sides by -4
z-12=-10.5
add 12 both sides
z=22.5

Answer 2

-4(z-12) = 42
First, we will get rid of the brackets by multiplying each term within the brackets by -4 as follows:
-4(z) - -4(12) = 42
-4z + 48 = 42
Then, we will isolate the term with the variable. To do so,we will simply subtract 48 from both sides as follows:
-4z+48-48 = 42-48
-4z = -6
Finally,we will get rid of the coefficient next to the variable by dividing both sides by -4.
The final result will thus be:
z = 3/2