6n+54=8n+16

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Solution for 6n+54=8n+16 equation:


Simplifying
6n + 54 = 8n + 16

Reorder the terms:
54 + 6n = 8n + 16

Reorder the terms:
54 + 6n = 16 + 8n

Solving
54 + 6n = 16 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
54 + 6n + -8n = 16 + 8n + -8n

Combine like terms: 6n + -8n = -2n
54 + -2n = 16 + 8n + -8n

Combine like terms: 8n + -8n = 0
54 + -2n = 16 + 0
54 + -2n = 16

Add '-54' to each side of the equation.
54 + -54 + -2n = 16 + -54

Combine like terms: 54 + -54 = 0
0 + -2n = 16 + -54
-2n = 16 + -54

Combine like terms: 16 + -54 = -38
-2n = -38

Divide each side by '-2'.
n = 19

Simplifying
n = 19

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