6+10n-5=8n+37-2n

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Solution for 6+10n-5=8n+37-2n equation:


Simplifying
6 + 10n + -5 = 8n + 37 + -2n

Reorder the terms:
6 + -5 + 10n = 8n + 37 + -2n

Combine like terms: 6 + -5 = 1
1 + 10n = 8n + 37 + -2n

Reorder the terms:
1 + 10n = 37 + 8n + -2n

Combine like terms: 8n + -2n = 6n
1 + 10n = 37 + 6n

Solving
1 + 10n = 37 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
1 + 10n + -6n = 37 + 6n + -6n

Combine like terms: 10n + -6n = 4n
1 + 4n = 37 + 6n + -6n

Combine like terms: 6n + -6n = 0
1 + 4n = 37 + 0
1 + 4n = 37

Add '-1' to each side of the equation.
1 + -1 + 4n = 37 + -1

Combine like terms: 1 + -1 = 0
0 + 4n = 37 + -1
4n = 37 + -1

Combine like terms: 37 + -1 = 36
4n = 36

Divide each side by '4'.
n = 9

Simplifying
n = 9

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