10n+5-8n-3=12

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Solution for 10n+5-8n-3=12 equation: 


Simplifying
10n + 5 + -8n + -3 = 12

Reorder the terms:
5 + -3 + 10n + -8n = 12

Combine like terms: 5 + -3 = 2
2 + 10n + -8n = 12

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

Solving
2 + 2n = 12

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 + 2n = 12 + -2

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

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

Divide each side by '2'.
n = 5

Simplifying
n = 5

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