(n+8)+(n-12)=20n

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Solution for (n+8)+(n-12)=20n equation:


Simplifying
(n + 8) + (n + -12) = 20n

Reorder the terms:
(8 + n) + (n + -12) = 20n

Remove parenthesis around (8 + n)
8 + n + (n + -12) = 20n

Reorder the terms:
8 + n + (-12 + n) = 20n

Remove parenthesis around (-12 + n)
8 + n + -12 + n = 20n

Reorder the terms:
8 + -12 + n + n = 20n

Combine like terms: 8 + -12 = -4
-4 + n + n = 20n

Combine like terms: n + n = 2n
-4 + 2n = 20n

Solving
-4 + 2n = 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
-4 + 2n + -20n = 20n + -20n

Combine like terms: 2n + -20n = -18n
-4 + -18n = 20n + -20n

Combine like terms: 20n + -20n = 0
-4 + -18n = 0

Add '4' to each side of the equation.
-4 + 4 + -18n = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -18n = 0 + 4
-18n = 0 + 4

Combine like terms: 0 + 4 = 4
-18n = 4

Divide each side by '-18'.
n = -0.2222222222

Simplifying
n = -0.2222222222

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