10n+12-9-7n+4n=16+15

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Solution for 10n+12-9-7n+4n=16+15 equation:


Simplifying
10n + 12 + -9 + -7n + 4n = 16 + 15

Reorder the terms:
12 + -9 + 10n + -7n + 4n = 16 + 15

Combine like terms: 12 + -9 = 3
3 + 10n + -7n + 4n = 16 + 15

Combine like terms: 10n + -7n = 3n
3 + 3n + 4n = 16 + 15

Combine like terms: 3n + 4n = 7n
3 + 7n = 16 + 15

Combine like terms: 16 + 15 = 31
3 + 7n = 31

Solving
3 + 7n = 31

Solving for variable 'n'.

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

Add '-3' to each side of the equation.
3 + -3 + 7n = 31 + -3

Combine like terms: 3 + -3 = 0
0 + 7n = 31 + -3
7n = 31 + -3

Combine like terms: 31 + -3 = 28
7n = 28

Divide each side by '7'.
n = 4

Simplifying
n = 4

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