To solve the equation 4 4/5(6x+0.7) - 3.16 = 8.84, we first need to distribute the 4 4/5 to the terms inside the parentheses:

4 4/5(6x+0.7) = 4(5) + 4(4/5)(6x) + 4(4/5)(0.7)
4 4/5(6x+0.7) = 20 + 16x + 2.8
4 4/5(6x+0.7) = 16x + 22.8

Now the equation becomes:

16x + 22.8 - 3.16 = 8.84

Combine like terms:

16x + 19.64 = 8.84

Subtract 19.64 from both sides:

16x = -10.8

Divide by 16 on both sides:

x = -10.8 / 16
x = -0.675

Therefore, the solution to the equation is x = -0.675.