2n+100=8n-14

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Solution for 2n+100=8n-14 equation:


Simplifying
2n + 100 = 8n + -14

Reorder the terms:
100 + 2n = 8n + -14

Reorder the terms:
100 + 2n = -14 + 8n

Solving
100 + 2n = -14 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
100 + 2n + -8n = -14 + 8n + -8n

Combine like terms: 2n + -8n = -6n
100 + -6n = -14 + 8n + -8n

Combine like terms: 8n + -8n = 0
100 + -6n = -14 + 0
100 + -6n = -14

Add '-100' to each side of the equation.
100 + -100 + -6n = -14 + -100

Combine like terms: 100 + -100 = 0
0 + -6n = -14 + -100
-6n = -14 + -100

Combine like terms: -14 + -100 = -114
-6n = -114

Divide each side by '-6'.
n = 19

Simplifying
n = 19

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