9n+9=10(n-1)

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


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

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

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

Solving
9 + 9n = -10 + 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.
9 + 9n + -10n = -10 + 10n + -10n

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

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

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

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

Combine like terms: -10 + -9 = -19
-1n = -19

Divide each side by '-1'.
n = 19

Simplifying
n = 19

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