7n+2+2(1-n)-2(1+n)=14

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Solution for 7n+2+2(1-n)-2(1+n)=14 equation:


Simplifying
7n + 2 + 2(1 + -1n) + -2(1 + n) = 14
7n + 2 + (1 * 2 + -1n * 2) + -2(1 + n) = 14
7n + 2 + (2 + -2n) + -2(1 + n) = 14
7n + 2 + 2 + -2n + (1 * -2 + n * -2) = 14
7n + 2 + 2 + -2n + (-2 + -2n) = 14

Reorder the terms:
2 + 2 + -2 + 7n + -2n + -2n = 14

Combine like terms: 2 + 2 = 4
4 + -2 + 7n + -2n + -2n = 14

Combine like terms: 4 + -2 = 2
2 + 7n + -2n + -2n = 14

Combine like terms: 7n + -2n = 5n
2 + 5n + -2n = 14

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

Solving
2 + 3n = 14

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + 3n = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 3n = 14 + -2
3n = 14 + -2

Combine like terms: 14 + -2 = 12
3n = 12

Divide each side by '3'.
n = 4

Simplifying
n = 4

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