10(z+4)-3(2-3)=4(z-2)+2(z-2)

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Solution for 10(z+4)-3(2-3)=4(z-2)+2(z-2) equation:



10(z+4)-3(2-3)=4(z-2)+2(z-2)
We move all terms to the left:
10(z+4)-3(2-3)-(4(z-2)+2(z-2))=0
We add all the numbers together, and all the variables
10(z+4)-(4(z-2)+2(z-2))-3(-1)=0
We add all the numbers together, and all the variables
10(z+4)-(4(z-2)+2(z-2))+3=0
We multiply parentheses
10z-(4(z-2)+2(z-2))+40+3=0
We calculate terms in parentheses: -(4(z-2)+2(z-2)), so:
4(z-2)+2(z-2)
We multiply parentheses
4z+2z-8-4
We add all the numbers together, and all the variables
6z-12
Back to the equation:
-(6z-12)
We add all the numbers together, and all the variables
10z-(6z-12)+43=0
We get rid of parentheses
10z-6z+12+43=0
We add all the numbers together, and all the variables
4z+55=0
We move all terms containing z to the left, all other terms to the right
4z=-55
z=-55/4
z=-13+3/4

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