10n+8=n-10

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Solution for 10n+8=n-10 equation:


Simplifying
10n + 8 = n + -10

Reorder the terms:
8 + 10n = n + -10

Reorder the terms:
8 + 10n = -10 + n

Solving
8 + 10n = -10 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
8 + 10n + -1n = -10 + n + -1n

Combine like terms: 10n + -1n = 9n
8 + 9n = -10 + n + -1n

Combine like terms: n + -1n = 0
8 + 9n = -10 + 0
8 + 9n = -10

Add '-8' to each side of the equation.
8 + -8 + 9n = -10 + -8

Combine like terms: 8 + -8 = 0
0 + 9n = -10 + -8
9n = -10 + -8

Combine like terms: -10 + -8 = -18
9n = -18

Divide each side by '9'.
n = -2

Simplifying
n = -2

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