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Question

Simplify and solve the following linear equation: 3(5z-7)-2(9z-11)=4(8z-13)-17


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Solution

Given: 3(5z-7)-2(9z-11)=4(8z-13)-17

3(5z7)2(9z11)=4(8z13)1715z2118z+22=32z5217

Rearranging the equation and combining like terms we get

15z18z32z=-5217+2122-35z=-70z=-70/-35z=2

Therefore, z=2.


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