10n+12=8n+20

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Solution for 10n+12=8n+20 equation:


Simplifying
10n + 12 = 8n + 20

Reorder the terms:
12 + 10n = 8n + 20

Reorder the terms:
12 + 10n = 20 + 8n

Solving
12 + 10n = 20 + 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.
12 + 10n + -8n = 20 + 8n + -8n

Combine like terms: 10n + -8n = 2n
12 + 2n = 20 + 8n + -8n

Combine like terms: 8n + -8n = 0
12 + 2n = 20 + 0
12 + 2n = 20

Add '-12' to each side of the equation.
12 + -12 + 2n = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 2n = 20 + -12
2n = 20 + -12

Combine like terms: 20 + -12 = 8
2n = 8

Divide each side by '2'.
n = 4

Simplifying
n = 4

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