10n-37=6n+51

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Solution for 10n-37=6n+51 equation:


Simplifying
10n + -37 = 6n + 51

Reorder the terms:
-37 + 10n = 6n + 51

Reorder the terms:
-37 + 10n = 51 + 6n

Solving
-37 + 10n = 51 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-37 + 10n + -6n = 51 + 6n + -6n

Combine like terms: 10n + -6n = 4n
-37 + 4n = 51 + 6n + -6n

Combine like terms: 6n + -6n = 0
-37 + 4n = 51 + 0
-37 + 4n = 51

Add '37' to each side of the equation.
-37 + 37 + 4n = 51 + 37

Combine like terms: -37 + 37 = 0
0 + 4n = 51 + 37
4n = 51 + 37

Combine like terms: 51 + 37 = 88
4n = 88

Divide each side by '4'.
n = 22

Simplifying
n = 22

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