Question

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

There are 4 steps.
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Answer 1

Explanation:

16=2(4d-8-2)

4d-10=16/2

4d=8+10

d=18/4

d=9/2

Answer 2

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

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 / 8 = 8d / 8 \\\\ 4.5 = d`

So
`d=4.5`.

Hope this helped!