Question 642398
(-9/2)k + (-6/5) = 9 - (9/8)k


40*(-9/2)k + 40*(-6/5) = 40*9 - 40*(9/8)k ... Multiply EVERY term by the LCD 40 to clear out the fractions.


20*(-9)k + 8*(-6) = 40*9 - 5*(9)k


-180k - 48 = 360 - 45k


-180k=360-45k+48


-180k+45k=360+48


-135k=360+48


-135k=408


k=(408)/(-135)


k=-136/45


So the solution is <font color="red">k = -136/45</font>