(10n-2)=(9n+2)

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Solution for (10n-2)=(9n+2) equation:


Simplifying
(10n + -2) = (9n + 2)

Reorder the terms:
(-2 + 10n) = (9n + 2)

Remove parenthesis around (-2 + 10n)
-2 + 10n = (9n + 2)

Reorder the terms:
-2 + 10n = (2 + 9n)

Remove parenthesis around (2 + 9n)
-2 + 10n = 2 + 9n

Solving
-2 + 10n = 2 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-2 + 10n + -9n = 2 + 9n + -9n

Combine like terms: 10n + -9n = 1n
-2 + 1n = 2 + 9n + -9n

Combine like terms: 9n + -9n = 0
-2 + 1n = 2 + 0
-2 + 1n = 2

Add '2' to each side of the equation.
-2 + 2 + 1n = 2 + 2

Combine like terms: -2 + 2 = 0
0 + 1n = 2 + 2
1n = 2 + 2

Combine like terms: 2 + 2 = 4
1n = 4

Divide each side by '1'.
n = 4

Simplifying
n = 4

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