6+10m-4n=n+1

Solution for 6+10m-4n=n+1 equation:

Simplifying
6 + 10m + -4n = n + 1

Reorder the terms:
6 + 10m + -4n = 1 + n

Solving
6 + 10m + -4n = 1 + n

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + 10m + -6 + -4n = 1 + -6 + n

Reorder the terms:
6 + -6 + 10m + -4n = 1 + -6 + n

Combine like terms: 6 + -6 = 0
0 + 10m + -4n = 1 + -6 + n
10m + -4n = 1 + -6 + n

Combine like terms: 1 + -6 = -5
10m + -4n = -5 + n

Add '4n' to each side of the equation.
10m + -4n + 4n = -5 + n + 4n

Combine like terms: -4n + 4n = 0
10m + 0 = -5 + n + 4n
10m = -5 + n + 4n

Combine like terms: n + 4n = 5n
10m = -5 + 5n

Divide each side by '10'.
m = -0.5 + 0.5n

Simplifying
m = -0.5 + 0.5n