0.2(z+1)-0.7z=0.1z+0.7-0.4z-0.5

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Solution for 0.2(z+1)-0.7z=0.1z+0.7-0.4z-0.5 equation: 



0.2(z+1)-0.7z=0.1z+0.7-0.4z-0.5

We move all terms to the left:

0.2(z+1)-0.7z-(0.1z+0.7-0.4z-0.5)=0

We add all the numbers together, and all the variables

0.2(z+1)-0.7z-(-0.3z+0.2)=0

We add all the numbers together, and all the variables

-0.7z+0.2(z+1)-(-0.3z+0.2)=0

We multiply parentheses

-0.7z+0.2z-(-0.3z+0.2)+0.2=0

We get rid of parentheses

-0.7z+0.2z+0.3z-0.2+0.2=0

We add all the numbers together, and all the variables

-0.2z=0

z=0/-0.2

z=0

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