(5(6-z)/4)=-z

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Solution for (5(6-z)/4)=-z equation:



(5(6-z)/4)=-z
We move all terms to the left:
(5(6-z)/4)-(-z)=0
We add all the numbers together, and all the variables
(5(-1z+6)/4)-(-1z)=0
We get rid of parentheses
(5(-1z+6)/4)+1z=0
We multiply all the terms by the denominator
(5(-1z+6)+1z*4)=0
We calculate terms in parentheses: +(5(-1z+6)+1z*4), so:
5(-1z+6)+1z*4
We multiply parentheses
-5z+1z*4+30
Wy multiply elements
-5z+4z+30
We add all the numbers together, and all the variables
-1z+30
Back to the equation:
+(-1z+30)
We get rid of parentheses
-1z+30=0
We move all terms containing z to the left, all other terms to the right
-z=-30
z=-30/-1
z=+30

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