2n+6=5(n-a+3)

Solution for 2n+6=5(n-a+3) equation:

Simplifying
2n + 6 = 5(n + -1a + 3)

Reorder the terms:
6 + 2n = 5(n + -1a + 3)

Reorder the terms:
6 + 2n = 5(3 + -1a + n)
6 + 2n = (3 * 5 + -1a * 5 + n * 5)
6 + 2n = (15 + -5a + 5n)

Solving
6 + 2n = 15 + -5a + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
6 + 2n + -5n = 15 + -5a + 5n + -5n

Combine like terms: 2n + -5n = -3n
6 + -3n = 15 + -5a + 5n + -5n

Combine like terms: 5n + -5n = 0
6 + -3n = 15 + -5a + 0
6 + -3n = 15 + -5a

Add '-6' to each side of the equation.
6 + -6 + -3n = 15 + -6 + -5a

Combine like terms: 6 + -6 = 0
0 + -3n = 15 + -6 + -5a
-3n = 15 + -6 + -5a

Combine like terms: 15 + -6 = 9
-3n = 9 + -5a

Divide each side by '-3'.
n = -3 + 1.666666667a

Simplifying
n = -3 + 1.666666667a