3n+16=21n-38

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Solution for 3n+16=21n-38 equation:


Simplifying
3n + 16 = 21n + -38

Reorder the terms:
16 + 3n = 21n + -38

Reorder the terms:
16 + 3n = -38 + 21n

Solving
16 + 3n = -38 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
16 + 3n + -21n = -38 + 21n + -21n

Combine like terms: 3n + -21n = -18n
16 + -18n = -38 + 21n + -21n

Combine like terms: 21n + -21n = 0
16 + -18n = -38 + 0
16 + -18n = -38

Add '-16' to each side of the equation.
16 + -16 + -18n = -38 + -16

Combine like terms: 16 + -16 = 0
0 + -18n = -38 + -16
-18n = -38 + -16

Combine like terms: -38 + -16 = -54
-18n = -54

Divide each side by '-18'.
n = 3

Simplifying
n = 3

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