3(9+6n)=-11(-2n-5)

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Solution for 3(9+6n)=-11(-2n-5) equation:


Simplifying
3(9 + 6n) = -11(-2n + -5)
(9 * 3 + 6n * 3) = -11(-2n + -5)
(27 + 18n) = -11(-2n + -5)

Reorder the terms:
27 + 18n = -11(-5 + -2n)
27 + 18n = (-5 * -11 + -2n * -11)
27 + 18n = (55 + 22n)

Solving
27 + 18n = 55 + 22n

Solving for variable 'n'.

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

Add '-22n' to each side of the equation.
27 + 18n + -22n = 55 + 22n + -22n

Combine like terms: 18n + -22n = -4n
27 + -4n = 55 + 22n + -22n

Combine like terms: 22n + -22n = 0
27 + -4n = 55 + 0
27 + -4n = 55

Add '-27' to each side of the equation.
27 + -27 + -4n = 55 + -27

Combine like terms: 27 + -27 = 0
0 + -4n = 55 + -27
-4n = 55 + -27

Combine like terms: 55 + -27 = 28
-4n = 28

Divide each side by '-4'.
n = -7

Simplifying
n = -7

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