-(-6n-6)-11(6-2n)=5n+8n

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Solution for -(-6n-6)-11(6-2n)=5n+8n equation:


Simplifying
-1(-6n + -6) + -11(6 + -2n) = 5n + 8n

Reorder the terms:
-1(-6 + -6n) + -11(6 + -2n) = 5n + 8n
(-6 * -1 + -6n * -1) + -11(6 + -2n) = 5n + 8n
(6 + 6n) + -11(6 + -2n) = 5n + 8n
6 + 6n + (6 * -11 + -2n * -11) = 5n + 8n
6 + 6n + (-66 + 22n) = 5n + 8n

Reorder the terms:
6 + -66 + 6n + 22n = 5n + 8n

Combine like terms: 6 + -66 = -60
-60 + 6n + 22n = 5n + 8n

Combine like terms: 6n + 22n = 28n
-60 + 28n = 5n + 8n

Combine like terms: 5n + 8n = 13n
-60 + 28n = 13n

Solving
-60 + 28n = 13n

Solving for variable 'n'.

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

Add '-13n' to each side of the equation.
-60 + 28n + -13n = 13n + -13n

Combine like terms: 28n + -13n = 15n
-60 + 15n = 13n + -13n

Combine like terms: 13n + -13n = 0
-60 + 15n = 0

Add '60' to each side of the equation.
-60 + 60 + 15n = 0 + 60

Combine like terms: -60 + 60 = 0
0 + 15n = 0 + 60
15n = 0 + 60

Combine like terms: 0 + 60 = 60
15n = 60

Divide each side by '15'.
n = 4

Simplifying
n = 4

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