6+m=51-4m

Solution for 6+m=51-4m equation:

Simplifying
6 + m = 51 + -4m

Solving
6 + m = 51 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
6 + m + 4m = 51 + -4m + 4m

Combine like terms: m + 4m = 5m
6 + 5m = 51 + -4m + 4m

Combine like terms: -4m + 4m = 0
6 + 5m = 51 + 0
6 + 5m = 51

Add '-6' to each side of the equation.
6 + -6 + 5m = 51 + -6

Combine like terms: 6 + -6 = 0
0 + 5m = 51 + -6
5m = 51 + -6

Combine like terms: 51 + -6 = 45
5m = 45

Divide each side by '5'.
m = 9

Simplifying
m = 9