5n-10=n+46

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Solution for 5n-10=n+46 equation:


Simplifying
5n + -10 = n + 46

Reorder the terms:
-10 + 5n = n + 46

Reorder the terms:
-10 + 5n = 46 + n

Solving
-10 + 5n = 46 + 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.
-10 + 5n + -1n = 46 + n + -1n

Combine like terms: 5n + -1n = 4n
-10 + 4n = 46 + n + -1n

Combine like terms: n + -1n = 0
-10 + 4n = 46 + 0
-10 + 4n = 46

Add '10' to each side of the equation.
-10 + 10 + 4n = 46 + 10

Combine like terms: -10 + 10 = 0
0 + 4n = 46 + 10
4n = 46 + 10

Combine like terms: 46 + 10 = 56
4n = 56

Divide each side by '4'.
n = 14

Simplifying
n = 14

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