The expression written in the question is the rational expression.
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It is an algebraic expression that can be simplified to: 16z+11
If you mean: (3z/7) +9 = -7 then the value of z works out as -37 and 1/3
It is an expression in two variables, z and t. It can be simplified to 14z + 2t or 2*(7z + t)
3z + 8 + 2z + 6 = 5z + 14
-6z 2 = 3z+ 4z+28 -6z+2 +3z = 3z+ 4z +28 +4z -6z+4z+2 = 3z+ 28 -10z+2 -3z= 28 - 2 -10z + -3z = 26 -13z/13 = 26/-13 z = -2