Question

How do you solve `-16d+4=d`?

Answer 1

`d = 4/17`

Explanation:

The first step to solving this equation is to do the necessary mathematics to isolate the `d` terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

`color(red)(16d) - 16d + 4 = color(red)(16d) + d`

`(color(red)(16d) - 16d) + 4 = color(red)(16d) + d`

`0 + 4 = 16d + d`

`4 = 16d + d`

Next, we can combine like terms:
Hint: remember (`color(green)(k = 1k)`)

`4 = (16 + 1)d`

`4 = 17d`

Now, we can solve for `d` while keeping the equation balanced:

`4/color(red)(17) = (17d)/color(red)(17)`

`4/17 = (color(red)(cancel(color(black)(17)))d)/color(red)(cancel(color(black)(17)))`

`4/17 = d` or `d = 4/17`