2n+6-7n=34-12n+21

Solution for 2n+6-7n=34-12n+21 equation:

Simplifying
2n + 6 + -7n = 34 + -12n + 21

Reorder the terms:
6 + 2n + -7n = 34 + -12n + 21

Combine like terms: 2n + -7n = -5n
6 + -5n = 34 + -12n + 21

Reorder the terms:
6 + -5n = 34 + 21 + -12n

Combine like terms: 34 + 21 = 55
6 + -5n = 55 + -12n

Solving
6 + -5n = 55 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
6 + -5n + 12n = 55 + -12n + 12n

Combine like terms: -5n + 12n = 7n
6 + 7n = 55 + -12n + 12n

Combine like terms: -12n + 12n = 0
6 + 7n = 55 + 0
6 + 7n = 55

Add '-6' to each side of the equation.
6 + -6 + 7n = 55 + -6

Combine like terms: 6 + -6 = 0
0 + 7n = 55 + -6
7n = 55 + -6

Combine like terms: 55 + -6 = 49
7n = 49

Divide each side by '7'.
n = 7

Simplifying
n = 7