8n^2-11=6n^2+7

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Solution for 8n^2-11=6n^2+7 equation: 


Simplifying
8n2 + -11 = 6n2 + 7

Reorder the terms:
-11 + 8n2 = 6n2 + 7

Reorder the terms:
-11 + 8n2 = 7 + 6n2

Solving
-11 + 8n2 = 7 + 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.
-11 + 8n2 + -6n2 = 7 + 6n2 + -6n2

Combine like terms: 8n2 + -6n2 = 2n2
-11 + 2n2 = 7 + 6n2 + -6n2

Combine like terms: 6n2 + -6n2 = 0
-11 + 2n2 = 7 + 0
-11 + 2n2 = 7

Add '11' to each side of the equation.
-11 + 11 + 2n2 = 7 + 11

Combine like terms: -11 + 11 = 0
0 + 2n2 = 7 + 11
2n2 = 7 + 11

Combine like terms: 7 + 11 = 18
2n2 = 18

Divide each side by '2'.
n2 = 9

Simplifying
n2 = 9

Take the square root of each side:
n = {-3, 3}

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