Question

List the steps in solving the equation 16 = 2 (4d - 8) - 4

Answer 1

Answer:

Step-by-step explanation:

16=2(4d-8-2)

4d-10=16/2

4d=8+10

d=18/4

d=9/2

Answer 2

Answer:

$\huge\boxed{4.5,\ \text{See explanation for steps.}}$

Step-by-step explanation:

If we have the equation $16=2(4d-8)-4$, 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:

$16=(4d \cdot 2) + (2 \cdot -8) - 4\\\\16 = 8d - 16 - 4$

2. Combine like terms on the right side:

$16 = 8d + (-16-4)\\\\16 = 8d-20$

3. Add 20 to both sides:

$16 + 20 = 8d -20 + 20\\\\36 = 8d$

Divide both sides by 8:

$36 \div 8 = 8d \div 8 \\\\ 4.5 = d$

So $d=4.5$.

Hope this helped!