9(n+9)=1+10n

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Solution for 9(n+9)=1+10n equation:


Simplifying
9(n + 9) = 1 + 10n

Reorder the terms:
9(9 + n) = 1 + 10n
(9 * 9 + n * 9) = 1 + 10n
(81 + 9n) = 1 + 10n

Solving
81 + 9n = 1 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
81 + 9n + -10n = 1 + 10n + -10n

Combine like terms: 9n + -10n = -1n
81 + -1n = 1 + 10n + -10n

Combine like terms: 10n + -10n = 0
81 + -1n = 1 + 0
81 + -1n = 1

Add '-81' to each side of the equation.
81 + -81 + -1n = 1 + -81

Combine like terms: 81 + -81 = 0
0 + -1n = 1 + -81
-1n = 1 + -81

Combine like terms: 1 + -81 = -80
-1n = -80

Divide each side by '-1'.
n = 80

Simplifying
n = 80

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