10n-14=9n+17

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Solution for 10n-14=9n+17 equation:


Simplifying
10n + -14 = 9n + 17

Reorder the terms:
-14 + 10n = 9n + 17

Reorder the terms:
-14 + 10n = 17 + 9n

Solving
-14 + 10n = 17 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-14 + 10n + -9n = 17 + 9n + -9n

Combine like terms: 10n + -9n = 1n
-14 + 1n = 17 + 9n + -9n

Combine like terms: 9n + -9n = 0
-14 + 1n = 17 + 0
-14 + 1n = 17

Add '14' to each side of the equation.
-14 + 14 + 1n = 17 + 14

Combine like terms: -14 + 14 = 0
0 + 1n = 17 + 14
1n = 17 + 14

Combine like terms: 17 + 14 = 31
1n = 31

Divide each side by '1'.
n = 31

Simplifying
n = 31

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