n*14-215=n*4-5

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Solution for n*14-215=n*4-5 equation:


Simplifying
n * 14 + -215 = n * 4 + -5

Reorder the terms for easier multiplication:
14n + -215 = n * 4 + -5

Reorder the terms:
-215 + 14n = n * 4 + -5

Reorder the terms for easier multiplication:
-215 + 14n = 4n + -5

Reorder the terms:
-215 + 14n = -5 + 4n

Solving
-215 + 14n = -5 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-215 + 14n + -4n = -5 + 4n + -4n

Combine like terms: 14n + -4n = 10n
-215 + 10n = -5 + 4n + -4n

Combine like terms: 4n + -4n = 0
-215 + 10n = -5 + 0
-215 + 10n = -5

Add '215' to each side of the equation.
-215 + 215 + 10n = -5 + 215

Combine like terms: -215 + 215 = 0
0 + 10n = -5 + 215
10n = -5 + 215

Combine like terms: -5 + 215 = 210
10n = 210

Divide each side by '10'.
n = 21

Simplifying
n = 21

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