7n^2-1+2n=6n^2+2n

Solution for 7n^2-1+2n=6n^2+2n equation:

Simplifying
7n2 + -1 + 2n = 6n2 + 2n

Reorder the terms:
-1 + 2n + 7n2 = 6n2 + 2n

Reorder the terms:
-1 + 2n + 7n2 = 2n + 6n2

Add '-2n' to each side of the equation.
-1 + 2n + -2n + 7n2 = 2n + -2n + 6n2

Combine like terms: 2n + -2n = 0
-1 + 0 + 7n2 = 2n + -2n + 6n2
-1 + 7n2 = 2n + -2n + 6n2

Combine like terms: 2n + -2n = 0
-1 + 7n2 = 0 + 6n2
-1 + 7n2 = 6n2

Solving
-1 + 7n2 = 6n2

Solving for variable 'n'.

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

Add '-6n2' to each side of the equation.
-1 + 7n2 + -6n2 = 6n2 + -6n2

Combine like terms: 7n2 + -6n2 = 1n2
-1 + 1n2 = 6n2 + -6n2

Combine like terms: 6n2 + -6n2 = 0
-1 + 1n2 = 0

Add '1' to each side of the equation.
-1 + 1 + 1n2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 1n2 = 0 + 1
1n2 = 0 + 1

Combine like terms: 0 + 1 = 1
1n2 = 1

Divide each side by '1'.
n2 = 1

Simplifying
n2 = 1

Take the square root of each side:
n = {-1, 1}