6+7n-5=9n+17-4n

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Solution for 6+7n-5=9n+17-4n equation:


Simplifying
6 + 7n + -5 = 9n + 17 + -4n

Reorder the terms:
6 + -5 + 7n = 9n + 17 + -4n

Combine like terms: 6 + -5 = 1
1 + 7n = 9n + 17 + -4n

Reorder the terms:
1 + 7n = 17 + 9n + -4n

Combine like terms: 9n + -4n = 5n
1 + 7n = 17 + 5n

Solving
1 + 7n = 17 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
1 + 7n + -5n = 17 + 5n + -5n

Combine like terms: 7n + -5n = 2n
1 + 2n = 17 + 5n + -5n

Combine like terms: 5n + -5n = 0
1 + 2n = 17 + 0
1 + 2n = 17

Add '-1' to each side of the equation.
1 + -1 + 2n = 17 + -1

Combine like terms: 1 + -1 = 0
0 + 2n = 17 + -1
2n = 17 + -1

Combine like terms: 17 + -1 = 16
2n = 16

Divide each side by '2'.
n = 8

Simplifying
n = 8

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