n-10+9n-3(n+4-9-5n)=0

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Solution for n-10+9n-3(n+4-9-5n)=0 equation:


Simplifying
n + -10 + 9n + -3(n + 4 + -9 + -5n) = 0

Reorder the terms:
n + -10 + 9n + -3(4 + -9 + n + -5n) = 0

Combine like terms: 4 + -9 = -5
n + -10 + 9n + -3(-5 + n + -5n) = 0

Combine like terms: n + -5n = -4n
n + -10 + 9n + -3(-5 + -4n) = 0
n + -10 + 9n + (-5 * -3 + -4n * -3) = 0
n + -10 + 9n + (15 + 12n) = 0

Reorder the terms:
-10 + 15 + n + 9n + 12n = 0

Combine like terms: -10 + 15 = 5
5 + n + 9n + 12n = 0

Combine like terms: n + 9n = 10n
5 + 10n + 12n = 0

Combine like terms: 10n + 12n = 22n
5 + 22n = 0

Solving
5 + 22n = 0

Solving for variable 'n'.

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

Add '-5' to each side of the equation.
5 + -5 + 22n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 22n = 0 + -5
22n = 0 + -5

Combine like terms: 0 + -5 = -5
22n = -5

Divide each side by '22'.
n = -0.2272727273

Simplifying
n = -0.2272727273

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