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-2/3(z-1/6)=1/5(z-5)
We simplify the equation to the form, which is simple to understand
-2/3(z-1/6)=1/5(z-5)
Simplifying:
-0.666666666667*(z-1/6)=1/5*(z-5)
Simplifying:
-0.666666666667*(z-0.166666666667)=1/5*(z-5)
Simplifying:
-0.666666666667*(z-0.166666666667)=0.2*(z-5)
Reorder the terms in parentheses
+(-0.666666666667z + 0.111111111111)=0.2*(z-5)
Remove unnecessary parentheses
-0.666666666667z + 0.111111111111=0.2+*(+z-5+)
Reorder the terms in parentheses
-0.666666666667z + 0.111111111111=+( + 0.2z-1)
Remove unnecessary parentheses
-0.666666666667z + 0.111111111111=0.2z-1
We move all terms containing z to the left and all other terms to the right.
-0.666666666667z-0.2z=-1-0.111111111111
We simplify left and right side of the equation.
-0.866666666667z=-1.11111111111
We divide both sides of the equation by -0.866666666667 to get z.
z=1.28205128205
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