MAth

I keep getting -28/19 for this problem, but it doesn't check with the solution in the back of the book. Help please..

solve the equation

7d-(1/2)(2d-4)=(-5/4)(d+4)

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  1. 7 d - ( 1 / 2 ) ( 2 d - 4 ) = ( - 5 / 4 ) ( d + 4 )

    7 d - ( 1 / 2 ) * 2 d - ( 1 / 2 ) * ( - 4 = ( - 5 / 4 ) * d + ( - 5 / 4 ) * 4

    7 d - d + 2 = ( - 5 / 4 ) * d - 5

    6 d + 2 = ( - 5 / 4 ) * d - 5

    6 d + ( 5 / 4 ) d = - 5 - 2

    ( 24 / 4 ) d + ( 5 / 4 ) d = - 7

    ( 29 / 4 ) d = - 7 Multiply both sides by 4

    29 d = - 28 Divide both sides by 29

    d = - 28 / 29

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