6-4m=-7(3m+4)

Solution for 6-4m=-7(3m+4) equation:

Simplifying
6 + -4m = -7(3m + 4)

Reorder the terms:
6 + -4m = -7(4 + 3m)
6 + -4m = (4 * -7 + 3m * -7)
6 + -4m = (-28 + -21m)

Solving
6 + -4m = -28 + -21m

Solving for variable 'm'.

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

Add '21m' to each side of the equation.
6 + -4m + 21m = -28 + -21m + 21m

Combine like terms: -4m + 21m = 17m
6 + 17m = -28 + -21m + 21m

Combine like terms: -21m + 21m = 0
6 + 17m = -28 + 0
6 + 17m = -28

Add '-6' to each side of the equation.
6 + -6 + 17m = -28 + -6

Combine like terms: 6 + -6 = 0
0 + 17m = -28 + -6
17m = -28 + -6

Combine like terms: -28 + -6 = -34
17m = -34

Divide each side by '17'.
m = -2

Simplifying
m = -2