10n+9=4n-9+9n

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Solution for 10n+9=4n-9+9n equation:


Simplifying
10n + 9 = 4n + -9 + 9n

Reorder the terms:
9 + 10n = 4n + -9 + 9n

Reorder the terms:
9 + 10n = -9 + 4n + 9n

Combine like terms: 4n + 9n = 13n
9 + 10n = -9 + 13n

Solving
9 + 10n = -9 + 13n

Solving for variable 'n'.

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

Add '-13n' to each side of the equation.
9 + 10n + -13n = -9 + 13n + -13n

Combine like terms: 10n + -13n = -3n
9 + -3n = -9 + 13n + -13n

Combine like terms: 13n + -13n = 0
9 + -3n = -9 + 0
9 + -3n = -9

Add '-9' to each side of the equation.
9 + -9 + -3n = -9 + -9

Combine like terms: 9 + -9 = 0
0 + -3n = -9 + -9
-3n = -9 + -9

Combine like terms: -9 + -9 = -18
-3n = -18

Divide each side by '-3'.
n = 6

Simplifying
n = 6

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