-3(n-3)+4n=-11n-33-2n

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Solution for -3(n-3)+4n=-11n-33-2n equation:


Simplifying
-3(n + -3) + 4n = -11n + -33 + -2n

Reorder the terms:
-3(-3 + n) + 4n = -11n + -33 + -2n
(-3 * -3 + n * -3) + 4n = -11n + -33 + -2n
(9 + -3n) + 4n = -11n + -33 + -2n

Combine like terms: -3n + 4n = 1n
9 + 1n = -11n + -33 + -2n

Reorder the terms:
9 + 1n = -33 + -11n + -2n

Combine like terms: -11n + -2n = -13n
9 + 1n = -33 + -13n

Solving
9 + 1n = -33 + -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 + 1n + 13n = -33 + -13n + 13n

Combine like terms: 1n + 13n = 14n
9 + 14n = -33 + -13n + 13n

Combine like terms: -13n + 13n = 0
9 + 14n = -33 + 0
9 + 14n = -33

Add '-9' to each side of the equation.
9 + -9 + 14n = -33 + -9

Combine like terms: 9 + -9 = 0
0 + 14n = -33 + -9
14n = -33 + -9

Combine like terms: -33 + -9 = -42
14n = -42

Divide each side by '14'.
n = -3

Simplifying
n = -3

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