-11(-7n-3)=-9(-9n+3)

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Solution for -11(-7n-3)=-9(-9n+3) equation:


Simplifying
-11(-7n + -3) = -9(-9n + 3)

Reorder the terms:
-11(-3 + -7n) = -9(-9n + 3)
(-3 * -11 + -7n * -11) = -9(-9n + 3)
(33 + 77n) = -9(-9n + 3)

Reorder the terms:
33 + 77n = -9(3 + -9n)
33 + 77n = (3 * -9 + -9n * -9)
33 + 77n = (-27 + 81n)

Solving
33 + 77n = -27 + 81n

Solving for variable 'n'.

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

Add '-81n' to each side of the equation.
33 + 77n + -81n = -27 + 81n + -81n

Combine like terms: 77n + -81n = -4n
33 + -4n = -27 + 81n + -81n

Combine like terms: 81n + -81n = 0
33 + -4n = -27 + 0
33 + -4n = -27

Add '-33' to each side of the equation.
33 + -33 + -4n = -27 + -33

Combine like terms: 33 + -33 = 0
0 + -4n = -27 + -33
-4n = -27 + -33

Combine like terms: -27 + -33 = -60
-4n = -60

Divide each side by '-4'.
n = 15

Simplifying
n = 15

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