Question

-(m - 6) = 3m + 14
Multiply m- 6 by -1

Answer 1

For this case we have the following equation:

`- (m-6) = 3m + 14`

We apply distributive property on the left side of the equation, taking into account that:

`- * + = -\\- * - = +`

So:

`-m + 6 = 3m + 14`

Subtracting 3m from both sides of the equation:

`-m-3m + 6 = 14`

Equal signs are added and the same sign is placed:

`-4m + 6 = 14`

We subtract 6 from both sides of the equation:

`-4m = 14-6\\-4m = 8`

We divide between -4 to both sides of the equation:

`m = \frac {8} {- 4}\\m = -2`

Thus, the solution of the equation is
`m = -2`

ANswer:

`m = -2`