5n+6=8n-48

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Solution for 5n+6=8n-48 equation:


Simplifying
5n + 6 = 8n + -48

Reorder the terms:
6 + 5n = 8n + -48

Reorder the terms:
6 + 5n = -48 + 8n

Solving
6 + 5n = -48 + 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.
6 + 5n + -8n = -48 + 8n + -8n

Combine like terms: 5n + -8n = -3n
6 + -3n = -48 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + -3n = -48 + 0
6 + -3n = -48

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

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

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

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

Simplifying
n = 18

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