9n+90=19n-100

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Solution for 9n+90=19n-100 equation: 


Simplifying
9n + 90 = 19n + -100

Reorder the terms:
90 + 9n = 19n + -100

Reorder the terms:
90 + 9n = -100 + 19n

Solving
90 + 9n = -100 + 19n

Solving for variable 'n'.

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

Add '-19n' to each side of the equation.
90 + 9n + -19n = -100 + 19n + -19n

Combine like terms: 9n + -19n = -10n
90 + -10n = -100 + 19n + -19n

Combine like terms: 19n + -19n = 0
90 + -10n = -100 + 0
90 + -10n = -100

Add '-90' to each side of the equation.
90 + -90 + -10n = -100 + -90

Combine like terms: 90 + -90 = 0
0 + -10n = -100 + -90
-10n = -100 + -90

Combine like terms: -100 + -90 = -190
-10n = -190

Divide each side by '-10'.
n = 19

Simplifying
n = 19

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