Answer:
[tex]\huge\boxed{4.5,\ \text{See explanation for steps.}}[/tex]
Step-by-step explanation:
If we have the equation [tex]16=2(4d-8)-4[/tex], our goal is to isolate the variable d on one side of the equation.
We can do this by performing a series of steps to reverse the equation.
1. Apply the distributive property on the right side:
[tex]16=(4d \cdot 2) + (2 \cdot -8) - 4\\\\16 = 8d - 16 - 4[/tex]
2. Combine like terms on the right side:
[tex]16 = 8d + (-16-4)\\\\16 = 8d-20[/tex]
3. Add 20 to both sides:
[tex]16 + 20 = 8d -20 + 20\\\\36 = 8d[/tex]
Divide both sides by 8:
[tex]36 \div 8 = 8d \div 8 \\\\ 4.5 = d[/tex]
So [tex]d=4.5[/tex].
Hope this helped!
