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Simplifying
4(2n2 + -7) = 44
Reorder the terms:
4(-7 + 2n2) = 44
(-7 * 4 + 2n2 * 4) = 44
(-28 + 8n2) = 44
Solving
-28 + 8n2 = 44
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '28' to each side of the equation.
-28 + 28 + 8n2 = 44 + 28
Combine like terms: -28 + 28 = 0
0 + 8n2 = 44 + 28
8n2 = 44 + 28
Combine like terms: 44 + 28 = 72
8n2 = 72
Divide each side by '8'.
n2 = 9
Simplifying
n2 = 9
Take the square root of each side:
n = {-3, 3}
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