6+4m=-4m-5(m+4)

Solution for 6+4m=-4m-5(m+4) equation:

Simplifying
6 + 4m = -4m + -5(m + 4)

Reorder the terms:
6 + 4m = -4m + -5(4 + m)
6 + 4m = -4m + (4 * -5 + m * -5)
6 + 4m = -4m + (-20 + -5m)

Reorder the terms:
6 + 4m = -20 + -4m + -5m

Combine like terms: -4m + -5m = -9m
6 + 4m = -20 + -9m

Solving
6 + 4m = -20 + -9m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '9m' to each side of the equation.
6 + 4m + 9m = -20 + -9m + 9m

Combine like terms: 4m + 9m = 13m
6 + 13m = -20 + -9m + 9m

Combine like terms: -9m + 9m = 0
6 + 13m = -20 + 0
6 + 13m = -20

Add '-6' to each side of the equation.
6 + -6 + 13m = -20 + -6

Combine like terms: 6 + -6 = 0
0 + 13m = -20 + -6
13m = -20 + -6

Combine like terms: -20 + -6 = -26
13m = -26

Divide each side by '13'.
m = -2

Simplifying
m = -2