3-2(n-5)-(n-9)=13

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Solution for 3-2(n-5)-(n-9)=13 equation: 


Simplifying
3 + -2(n + -5) + -1(n + -9) = 13

Reorder the terms:
3 + -2(-5 + n) + -1(n + -9) = 13
3 + (-5 * -2 + n * -2) + -1(n + -9) = 13
3 + (10 + -2n) + -1(n + -9) = 13

Reorder the terms:
3 + 10 + -2n + -1(-9 + n) = 13
3 + 10 + -2n + (-9 * -1 + n * -1) = 13
3 + 10 + -2n + (9 + -1n) = 13

Reorder the terms:
3 + 10 + 9 + -2n + -1n = 13

Combine like terms: 3 + 10 = 13
13 + 9 + -2n + -1n = 13

Combine like terms: 13 + 9 = 22
22 + -2n + -1n = 13

Combine like terms: -2n + -1n = -3n
22 + -3n = 13

Solving
22 + -3n = 13

Solving for variable 'n'.

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

Add '-22' to each side of the equation.
22 + -22 + -3n = 13 + -22

Combine like terms: 22 + -22 = 0
0 + -3n = 13 + -22
-3n = 13 + -22

Combine like terms: 13 + -22 = -9
-3n = -9

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

Simplifying
n = 3

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