-6n-11(4n-5)=5(1-9n)

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Solution for -6n-11(4n-5)=5(1-9n) equation:


Simplifying
-6n + -11(4n + -5) = 5(1 + -9n)

Reorder the terms:
-6n + -11(-5 + 4n) = 5(1 + -9n)
-6n + (-5 * -11 + 4n * -11) = 5(1 + -9n)
-6n + (55 + -44n) = 5(1 + -9n)

Reorder the terms:
55 + -6n + -44n = 5(1 + -9n)

Combine like terms: -6n + -44n = -50n
55 + -50n = 5(1 + -9n)
55 + -50n = (1 * 5 + -9n * 5)
55 + -50n = (5 + -45n)

Solving
55 + -50n = 5 + -45n

Solving for variable 'n'.

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

Add '45n' to each side of the equation.
55 + -50n + 45n = 5 + -45n + 45n

Combine like terms: -50n + 45n = -5n
55 + -5n = 5 + -45n + 45n

Combine like terms: -45n + 45n = 0
55 + -5n = 5 + 0
55 + -5n = 5

Add '-55' to each side of the equation.
55 + -55 + -5n = 5 + -55

Combine like terms: 55 + -55 = 0
0 + -5n = 5 + -55
-5n = 5 + -55

Combine like terms: 5 + -55 = -50
-5n = -50

Divide each side by '-5'.
n = 10

Simplifying
n = 10

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