-6(-2n+1)+4n=5(n+12)

Solution for -6(-2n+1)+4n=5(n+12) equation:

Simplifying
-6(-2n + 1) + 4n = 5(n + 12)

Reorder the terms:
-6(1 + -2n) + 4n = 5(n + 12)
(1 * -6 + -2n * -6) + 4n = 5(n + 12)
(-6 + 12n) + 4n = 5(n + 12)

Combine like terms: 12n + 4n = 16n
-6 + 16n = 5(n + 12)

Reorder the terms:
-6 + 16n = 5(12 + n)
-6 + 16n = (12 * 5 + n * 5)
-6 + 16n = (60 + 5n)

Solving
-6 + 16n = 60 + 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.
-6 + 16n + -5n = 60 + 5n + -5n

Combine like terms: 16n + -5n = 11n
-6 + 11n = 60 + 5n + -5n

Combine like terms: 5n + -5n = 0
-6 + 11n = 60 + 0
-6 + 11n = 60

Add '6' to each side of the equation.
-6 + 6 + 11n = 60 + 6

Combine like terms: -6 + 6 = 0
0 + 11n = 60 + 6
11n = 60 + 6

Combine like terms: 60 + 6 = 66
11n = 66

Divide each side by '11'.
n = 6

Simplifying
n = 6