18-(n+9)=3n+13-2n

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Solution for 18-(n+9)=3n+13-2n equation:


Simplifying
18 + -1(n + 9) = 3n + 13 + -2n

Reorder the terms:
18 + -1(9 + n) = 3n + 13 + -2n
18 + (9 * -1 + n * -1) = 3n + 13 + -2n
18 + (-9 + -1n) = 3n + 13 + -2n

Combine like terms: 18 + -9 = 9
9 + -1n = 3n + 13 + -2n

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

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

Solving
9 + -1n = 13 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
9 + -1n + -1n = 13 + 1n + -1n

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

Combine like terms: 1n + -1n = 0
9 + -2n = 13 + 0
9 + -2n = 13

Add '-9' to each side of the equation.
9 + -9 + -2n = 13 + -9

Combine like terms: 9 + -9 = 0
0 + -2n = 13 + -9
-2n = 13 + -9

Combine like terms: 13 + -9 = 4
-2n = 4

Divide each side by '-2'.
n = -2

Simplifying
n = -2

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