5n-74=n-6

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Solution for 5n-74=n-6 equation:


Simplifying
5n + -74 = n + -6

Reorder the terms:
-74 + 5n = n + -6

Reorder the terms:
-74 + 5n = -6 + n

Solving
-74 + 5n = -6 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-74 + 5n + -1n = -6 + n + -1n

Combine like terms: 5n + -1n = 4n
-74 + 4n = -6 + n + -1n

Combine like terms: n + -1n = 0
-74 + 4n = -6 + 0
-74 + 4n = -6

Add '74' to each side of the equation.
-74 + 74 + 4n = -6 + 74

Combine like terms: -74 + 74 = 0
0 + 4n = -6 + 74
4n = -6 + 74

Combine like terms: -6 + 74 = 68
4n = 68

Divide each side by '4'.
n = 17

Simplifying
n = 17

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