Math, asked by kajal1662, 1 year ago

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Answered by mass32
0

(12-2z-8)2=3(2z+5)

24-4z-16=6z+15

10z=-7

z=-7/10

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Answered by Anonymous
31

\mathsf{Given :\;4 - \dfrac{2(z - 4)}{3} = \dfrac{1}{2}(2z + 5)}

\mathsf{\implies \dfrac{3(4) - 2(z - 4)}{3} = \dfrac{(2z + 5)}{2}}

\mathsf{\implies \dfrac{12 - 2z + 8}{3} = \dfrac{2z + 5}{2}}

\mathsf{\implies \dfrac{20 - 2z}{3} = \dfrac{2z + 5}{2}}

\mathsf{\implies {2(20 - 2z)} = {3(2z + 5)}}

\mathsf{\implies {40 - 4z} = {6z + 15}}

\mathsf{\implies {6z + 4z} = {40 - 15}}

\mathsf{\implies {10z} = {25}}

\mathsf{\implies {z} = \dfrac{25}{10}}

\mathsf{\implies {z} = \dfrac{5}{2}}

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