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Simplifying
8n2 + -7 = 385
Reorder the terms:
-7 + 8n2 = 385
Solving
-7 + 8n2 = 385
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 8n2 = 385 + 7
Combine like terms: -7 + 7 = 0
0 + 8n2 = 385 + 7
8n2 = 385 + 7
Combine like terms: 385 + 7 = 392
8n2 = 392
Divide each side by '8'.
n2 = 49
Simplifying
n2 = 49
Take the square root of each side:
n = {-7, 7}
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