11(-12n-11)-3=-10(2+8n)

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Solution for 11(-12n-11)-3=-10(2+8n) equation: 


Simplifying
11(-12n + -11) + -3 = -10(2 + 8n)

Reorder the terms:
11(-11 + -12n) + -3 = -10(2 + 8n)
(-11 * 11 + -12n * 11) + -3 = -10(2 + 8n)
(-121 + -132n) + -3 = -10(2 + 8n)

Reorder the terms:
-121 + -3 + -132n = -10(2 + 8n)

Combine like terms: -121 + -3 = -124
-124 + -132n = -10(2 + 8n)
-124 + -132n = (2 * -10 + 8n * -10)
-124 + -132n = (-20 + -80n)

Solving
-124 + -132n = -20 + -80n

Solving for variable 'n'.

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

Add '80n' to each side of the equation.
-124 + -132n + 80n = -20 + -80n + 80n

Combine like terms: -132n + 80n = -52n
-124 + -52n = -20 + -80n + 80n

Combine like terms: -80n + 80n = 0
-124 + -52n = -20 + 0
-124 + -52n = -20

Add '124' to each side of the equation.
-124 + 124 + -52n = -20 + 124

Combine like terms: -124 + 124 = 0
0 + -52n = -20 + 124
-52n = -20 + 124

Combine like terms: -20 + 124 = 104
-52n = 104

Divide each side by '-52'.
n = -2

Simplifying
n = -2

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