8+10n-6=8n+42-6n

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Solution for 8+10n-6=8n+42-6n equation:


Simplifying
8 + 10n + -6 = 8n + 42 + -6n

Reorder the terms:
8 + -6 + 10n = 8n + 42 + -6n

Combine like terms: 8 + -6 = 2
2 + 10n = 8n + 42 + -6n

Reorder the terms:
2 + 10n = 42 + 8n + -6n

Combine like terms: 8n + -6n = 2n
2 + 10n = 42 + 2n

Solving
2 + 10n = 42 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
2 + 10n + -2n = 42 + 2n + -2n

Combine like terms: 10n + -2n = 8n
2 + 8n = 42 + 2n + -2n

Combine like terms: 2n + -2n = 0
2 + 8n = 42 + 0
2 + 8n = 42

Add '-2' to each side of the equation.
2 + -2 + 8n = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 8n = 42 + -2
8n = 42 + -2

Combine like terms: 42 + -2 = 40
8n = 40

Divide each side by '8'.
n = 5

Simplifying
n = 5

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