For this case we have the following equation:
[tex]- (m-6) = 3m + 14[/tex]
We apply distributive property on the left side of the equation, taking into account that:
[tex]- * + = -\\- * - = +[/tex]
So:
[tex]-m + 6 = 3m + 14[/tex]
Subtracting 3m from both sides of the equation:
[tex]-m-3m + 6 = 14[/tex]
Equal signs are added and the same sign is placed:
[tex]-4m + 6 = 14[/tex]
We subtract 6 from both sides of the equation:
[tex]-4m = 14-6\\-4m = 8[/tex]
We divide between -4 to both sides of the equation:
[tex]m = \frac {8} {- 4}\\m = -2[/tex]
Thus, the solution of the equation is[tex]m = -2[/tex]
ANswer:
[tex]m = -2[/tex]
