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Simplifying
-7n2 + -49 + -6n = -6n + -8n2
Reorder the terms:
-49 + -6n + -7n2 = -6n + -8n2
Add '6n' to each side of the equation.
-49 + -6n + 6n + -7n2 = -6n + 6n + -8n2
Combine like terms: -6n + 6n = 0
-49 + 0 + -7n2 = -6n + 6n + -8n2
-49 + -7n2 = -6n + 6n + -8n2
Combine like terms: -6n + 6n = 0
-49 + -7n2 = 0 + -8n2
-49 + -7n2 = -8n2
Solving
-49 + -7n2 = -8n2
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '8n2' to each side of the equation.
-49 + -7n2 + 8n2 = -8n2 + 8n2
Combine like terms: -7n2 + 8n2 = 1n2
-49 + 1n2 = -8n2 + 8n2
Combine like terms: -8n2 + 8n2 = 0
-49 + 1n2 = 0
Add '49' to each side of the equation.
-49 + 49 + 1n2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 1n2 = 0 + 49
1n2 = 0 + 49
Combine like terms: 0 + 49 = 49
1n2 = 49
Divide each side by '1'.
n2 = 49
Simplifying
n2 = 49
Take the square root of each side:
n = {-7, 7}
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