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Simplifying
7n2 + -9 = 334
Reorder the terms:
-9 + 7n2 = 334
Solving
-9 + 7n2 = 334
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 7n2 = 334 + 9
Combine like terms: -9 + 9 = 0
0 + 7n2 = 334 + 9
7n2 = 334 + 9
Combine like terms: 334 + 9 = 343
7n2 = 343
Divide each side by '7'.
n2 = 49
Simplifying
n2 = 49
Take the square root of each side:
n = {-7, 7}
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