5n-48=2n+6

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Solution for 5n-48=2n+6 equation:


Simplifying
5n + -48 = 2n + 6

Reorder the terms:
-48 + 5n = 2n + 6

Reorder the terms:
-48 + 5n = 6 + 2n

Solving
-48 + 5n = 6 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-48 + 5n + -2n = 6 + 2n + -2n

Combine like terms: 5n + -2n = 3n
-48 + 3n = 6 + 2n + -2n

Combine like terms: 2n + -2n = 0
-48 + 3n = 6 + 0
-48 + 3n = 6

Add '48' to each side of the equation.
-48 + 48 + 3n = 6 + 48

Combine like terms: -48 + 48 = 0
0 + 3n = 6 + 48
3n = 6 + 48

Combine like terms: 6 + 48 = 54
3n = 54

Divide each side by '3'.
n = 18

Simplifying
n = 18

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