7. Find the value of the variable

The end points of a line segment be \(A(4\), \(4)\) and \(B(8\), \(k)\). If the mid-point \(M(x\), \(y)\) lies on the equation \(6x + 8y - 76 = 0\), find the value of '\(k\)'.

 

The value of '\(k\)' is .