4m+6-2n=2(n+3)

Solution for 4m+6-2n=2(n+3) equation:

Simplifying
4m + 6 + -2n = 2(n + 3)

Reorder the terms:
6 + 4m + -2n = 2(n + 3)

Reorder the terms:
6 + 4m + -2n = 2(3 + n)
6 + 4m + -2n = (3 * 2 + n * 2)
6 + 4m + -2n = (6 + 2n)

Add '-6' to each side of the equation.
6 + 4m + -6 + -2n = 6 + -6 + 2n

Reorder the terms:
6 + -6 + 4m + -2n = 6 + -6 + 2n

Combine like terms: 6 + -6 = 0
0 + 4m + -2n = 6 + -6 + 2n
4m + -2n = 6 + -6 + 2n

Combine like terms: 6 + -6 = 0
4m + -2n = 0 + 2n
4m + -2n = 2n

Solving
4m + -2n = 2n

Solving for variable 'm'.

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

Add '2n' to each side of the equation.
4m + -2n + 2n = 2n + 2n

Combine like terms: -2n + 2n = 0
4m + 0 = 2n + 2n
4m = 2n + 2n

Combine like terms: 2n + 2n = 4n
4m = 4n

Divide each side by '4'.
m = n

Simplifying
m = n