(n+5)2=5n-14

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Solution for (n+5)2=5n-14 equation:


Simplifying
(n + 5) * 2 = 5n + -14

Reorder the terms:
(5 + n) * 2 = 5n + -14

Reorder the terms for easier multiplication:
2(5 + n) = 5n + -14
(5 * 2 + n * 2) = 5n + -14
(10 + 2n) = 5n + -14

Reorder the terms:
10 + 2n = -14 + 5n

Solving
10 + 2n = -14 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
10 + 2n + -5n = -14 + 5n + -5n

Combine like terms: 2n + -5n = -3n
10 + -3n = -14 + 5n + -5n

Combine like terms: 5n + -5n = 0
10 + -3n = -14 + 0
10 + -3n = -14

Add '-10' to each side of the equation.
10 + -10 + -3n = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -3n = -14 + -10
-3n = -14 + -10

Combine like terms: -14 + -10 = -24
-3n = -24

Divide each side by '-3'.
n = 8

Simplifying
n = 8

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