8+7n-7=6n+31-4n

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Solution for 8+7n-7=6n+31-4n equation:


Simplifying
8 + 7n + -7 = 6n + 31 + -4n

Reorder the terms:
8 + -7 + 7n = 6n + 31 + -4n

Combine like terms: 8 + -7 = 1
1 + 7n = 6n + 31 + -4n

Reorder the terms:
1 + 7n = 31 + 6n + -4n

Combine like terms: 6n + -4n = 2n
1 + 7n = 31 + 2n

Solving
1 + 7n = 31 + 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.
1 + 7n + -2n = 31 + 2n + -2n

Combine like terms: 7n + -2n = 5n
1 + 5n = 31 + 2n + -2n

Combine like terms: 2n + -2n = 0
1 + 5n = 31 + 0
1 + 5n = 31

Add '-1' to each side of the equation.
1 + -1 + 5n = 31 + -1

Combine like terms: 1 + -1 = 0
0 + 5n = 31 + -1
5n = 31 + -1

Combine like terms: 31 + -1 = 30
5n = 30

Divide each side by '5'.
n = 6

Simplifying
n = 6

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