5+7n-2=8n+6-2n

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Solution for 5+7n-2=8n+6-2n equation:


Simplifying
5 + 7n + -2 = 8n + 6 + -2n

Reorder the terms:
5 + -2 + 7n = 8n + 6 + -2n

Combine like terms: 5 + -2 = 3
3 + 7n = 8n + 6 + -2n

Reorder the terms:
3 + 7n = 6 + 8n + -2n

Combine like terms: 8n + -2n = 6n
3 + 7n = 6 + 6n

Solving
3 + 7n = 6 + 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.
3 + 7n + -6n = 6 + 6n + -6n

Combine like terms: 7n + -6n = 1n
3 + 1n = 6 + 6n + -6n

Combine like terms: 6n + -6n = 0
3 + 1n = 6 + 0
3 + 1n = 6

Add '-3' to each side of the equation.
3 + -3 + 1n = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 1n = 6 + -3
1n = 6 + -3

Combine like terms: 6 + -3 = 3
1n = 3

Divide each side by '1'.
n = 3

Simplifying
n = 3

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