Question

How do you solve `-2(m-30)=-6m`?

Answer 1

`m = -15`

Explanation:

We'll begin by expanding the bracket:

`-2(m-30) = -6m`
`-2m+60 = -6m`

Now we can add `6m` to obtain:

`4m+60=0`

Subtract `60` to take it to the other side:

`4m =-60`

Finally divide by `4` to get:

`m = -15`

Answer 2

Expand the expression on the left side;
then add or subtract to get a only the variable component on one side and a constant on the other;
finally divide both sides by the variable's coefficient..

Explanation:

Given
`color(white)("XXX")-2(m-30) = -6m`

Expand the expression on the left side:
`color(white)("XXX")-2m+60=-6m`

Add `6m` to both sides
`color(white)("XXX")4m+60=0`
Subtract `60` from both sides
`color(white)("XXX")4m=-60`
so we now have only a variable component on the left and a constant on the right.

Divide both sides by `4`
`color(white)("XXX")m=-15`

...and this is our "solution"