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:

$m = -2$