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2/3(z-2/3)=2/5(z+2)
We simplify the equation to the form, which is simple to understand
2/3(z-2/3)=2/5(z+2)
Reorder the terms in parentheses
+( + 0.66666666666667z-0.44444444444444)=0.4*(z+2)
Remove unnecessary parentheses
+ 0.66666666666667z-0.44444444444444=0.4+*(+z+2+)
Reorder the terms in parentheses
+ 0.66666666666667z-0.44444444444444=+( + 0.4z + 0.8)
Remove unnecessary parentheses
+ 0.66666666666667z-0.44444444444444=0.4z + 0.8
We move all terms containing z to the left and all other terms to the right.
+ 0.66666666666667z-0.4z=0.8 + 0.44444444444444
We simplify left and right side of the equation.
+ 0.26666666666667z=+1.2444444444444
We divide both sides of the equation by 0.26666666666667 to get z.
z=4.6666666666667
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