-6(-2n-10)+4n=5(n+12)

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Solution for -6(-2n-10)+4n=5(n+12) equation:


Simplifying
-6(-2n + -10) + 4n = 5(n + 12)

Reorder the terms:
-6(-10 + -2n) + 4n = 5(n + 12)
(-10 * -6 + -2n * -6) + 4n = 5(n + 12)
(60 + 12n) + 4n = 5(n + 12)

Combine like terms: 12n + 4n = 16n
60 + 16n = 5(n + 12)

Reorder the terms:
60 + 16n = 5(12 + n)
60 + 16n = (12 * 5 + n * 5)
60 + 16n = (60 + 5n)

Add '-60' to each side of the equation.
60 + -60 + 16n = 60 + -60 + 5n

Combine like terms: 60 + -60 = 0
0 + 16n = 60 + -60 + 5n
16n = 60 + -60 + 5n

Combine like terms: 60 + -60 = 0
16n = 0 + 5n
16n = 5n

Solving
16n = 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
16n + -5n = 5n + -5n

Combine like terms: 16n + -5n = 11n
11n = 5n + -5n

Combine like terms: 5n + -5n = 0
11n = 0

Divide each side by '11'.
n = 0

Simplifying
n = 0

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