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1-4z=-6-9z+6z
We move all terms to the left:
1-4z-(-6-9z+6z)=0
We add all the numbers together, and all the variables
-4z-(-3z-6)+1=0
We get rid of parentheses
-4z+3z+6+1=0
We add all the numbers together, and all the variables
-1z+7=0
We move all terms containing z to the left, all other terms to the right
-z=-7
z=-7/-1
z=+7
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