Let us try to formulate the expressions one by one.
let the number be x.
Step 1:
six time the number is 6*x = 6x
Step 2:
product of the number and -3 is -3x
Step 3:
now let us make equation for it:
adding 3x on the left side,
dividing right side by 9
x=45/9 = 5
So the number is x=5