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

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

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

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

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

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

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

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

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

Solving
4b + -2n = 2n

Solving for variable 'b'.

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

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

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

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

Divide each side by '4'.
b = n

Simplifying
b = n