8+16n-7=9n+85-5n

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Solution for 8+16n-7=9n+85-5n equation:


Simplifying
8 + 16n + -7 = 9n + 85 + -5n

Reorder the terms:
8 + -7 + 16n = 9n + 85 + -5n

Combine like terms: 8 + -7 = 1
1 + 16n = 9n + 85 + -5n

Reorder the terms:
1 + 16n = 85 + 9n + -5n

Combine like terms: 9n + -5n = 4n
1 + 16n = 85 + 4n

Solving
1 + 16n = 85 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
1 + 16n + -4n = 85 + 4n + -4n

Combine like terms: 16n + -4n = 12n
1 + 12n = 85 + 4n + -4n

Combine like terms: 4n + -4n = 0
1 + 12n = 85 + 0
1 + 12n = 85

Add '-1' to each side of the equation.
1 + -1 + 12n = 85 + -1

Combine like terms: 1 + -1 = 0
0 + 12n = 85 + -1
12n = 85 + -1

Combine like terms: 85 + -1 = 84
12n = 84

Divide each side by '12'.
n = 7

Simplifying
n = 7

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