To solve the equation, -5x + 11/9 = 16, we'll eliminate the fraction by multiplying every term by 9:
9(-5x + 11/9) = 9(16)
This simplifies to:
-45x + 11 = 144
Now, let's isolate the x term by subtracting 11 from both sides:
-45x + 11 - 11 = 144 - 11
-45x = 133
Next, divide both sides of the equation by -45 to solve for x:
x = 133 / -45
The simplified decimal form of the solution is approximately x ≈ -2.9556.