5(n-2)=38+n

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Solution for 5(n-2)=38+n equation:


Simplifying
5(n + -2) = 38 + n

Reorder the terms:
5(-2 + n) = 38 + n
(-2 * 5 + n * 5) = 38 + n
(-10 + 5n) = 38 + n

Solving
-10 + 5n = 38 + 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 = 38 + n + -1n

Combine like terms: 5n + -1n = 4n
-10 + 4n = 38 + n + -1n

Combine like terms: n + -1n = 0
-10 + 4n = 38 + 0
-10 + 4n = 38

Add '10' to each side of the equation.
-10 + 10 + 4n = 38 + 10

Combine like terms: -10 + 10 = 0
0 + 4n = 38 + 10
4n = 38 + 10

Combine like terms: 38 + 10 = 48
4n = 48

Divide each side by '4'.
n = 12

Simplifying
n = 12

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