11(-4n-6)=-11(5+3n)

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Solution for 11(-4n-6)=-11(5+3n) equation:


Simplifying
11(-4n + -6) = -11(5 + 3n)

Reorder the terms:
11(-6 + -4n) = -11(5 + 3n)
(-6 * 11 + -4n * 11) = -11(5 + 3n)
(-66 + -44n) = -11(5 + 3n)
-66 + -44n = (5 * -11 + 3n * -11)
-66 + -44n = (-55 + -33n)

Solving
-66 + -44n = -55 + -33n

Solving for variable 'n'.

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

Add '33n' to each side of the equation.
-66 + -44n + 33n = -55 + -33n + 33n

Combine like terms: -44n + 33n = -11n
-66 + -11n = -55 + -33n + 33n

Combine like terms: -33n + 33n = 0
-66 + -11n = -55 + 0
-66 + -11n = -55

Add '66' to each side of the equation.
-66 + 66 + -11n = -55 + 66

Combine like terms: -66 + 66 = 0
0 + -11n = -55 + 66
-11n = -55 + 66

Combine like terms: -55 + 66 = 11
-11n = 11

Divide each side by '-11'.
n = -1

Simplifying
n = -1

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