2*(7n+2)+12*(n+1)=2

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Solution for 2*(7n+2)+12*(n+1)=2 equation: 


Simplifying
2(7n + 2) + 12(n + 1) = 2

Reorder the terms:
2(2 + 7n) + 12(n + 1) = 2
(2 * 2 + 7n * 2) + 12(n + 1) = 2
(4 + 14n) + 12(n + 1) = 2

Reorder the terms:
4 + 14n + 12(1 + n) = 2
4 + 14n + (1 * 12 + n * 12) = 2
4 + 14n + (12 + 12n) = 2

Reorder the terms:
4 + 12 + 14n + 12n = 2

Combine like terms: 4 + 12 = 16
16 + 14n + 12n = 2

Combine like terms: 14n + 12n = 26n
16 + 26n = 2

Solving
16 + 26n = 2

Solving for variable 'n'.

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

Add '-16' to each side of the equation.
16 + -16 + 26n = 2 + -16

Combine like terms: 16 + -16 = 0
0 + 26n = 2 + -16
26n = 2 + -16

Combine like terms: 2 + -16 = -14
26n = -14

Divide each side by '26'.
n = -0.5384615385

Simplifying
n = -0.5384615385

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