(7n+-3)2=-n+114

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Solution for (7n+-3)2=-n+114 equation:


Simplifying
(7n + -3) * 2 = -1n + 114

Reorder the terms:
(-3 + 7n) * 2 = -1n + 114

Reorder the terms for easier multiplication:
2(-3 + 7n) = -1n + 114
(-3 * 2 + 7n * 2) = -1n + 114
(-6 + 14n) = -1n + 114

Reorder the terms:
-6 + 14n = 114 + -1n

Solving
-6 + 14n = 114 + -1n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add 'n' to each side of the equation.
-6 + 14n + n = 114 + -1n + n

Combine like terms: 14n + n = 15n
-6 + 15n = 114 + -1n + n

Combine like terms: -1n + n = 0
-6 + 15n = 114 + 0
-6 + 15n = 114

Add '6' to each side of the equation.
-6 + 6 + 15n = 114 + 6

Combine like terms: -6 + 6 = 0
0 + 15n = 114 + 6
15n = 114 + 6

Combine like terms: 114 + 6 = 120
15n = 120

Divide each side by '15'.
n = 8

Simplifying
n = 8

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