3-5/4(2z-6)=5z-2/3

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Solution for 3-5/4(2z-6)=5z-2/3 equation: 


z in (-oo:+oo)

3-((5/4)*(2*z-6)) = 5*z-(2/3) // - 5*z-(2/3)

2/3-((5/4)*(2*z-6))-(5*z)+3 = 0

(-5/4)*(2*z-6)-5*z+2/3+3 = 0

2/3-5/4*(2*z-6)-5*z+3 = 0

(-5/4*3*(2*z-6))/3+(-5*3*z)/3+2/3+(3^2)/3 = 0

2-5/4*3*(2*z-6)-5*3*z+9 = 0

2-45/2*z+9+45/2 = 0

9-45/2*z+49/2 = 0

67/2-45/2*z = 0

(67/2-45/2*z)/3 = 0

(67/2-45/2*z)/3 = 0 // * 3

67/2-45/2*z = 0

67/2-45/2*z = 0 // - 67/2

-45/2*z = -67/2 // : -45/2

z = -67/2/(-45/2)

z = 67/45

z = 67/45

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