4(5n-1)+16=12-3(4-2n)

Solution for 4(5n-1)+16=12-3(4-2n) equation:

Simplifying
4(5n + -1) + 16 = 12 + -3(4 + -2n)

Reorder the terms:
4(-1 + 5n) + 16 = 12 + -3(4 + -2n)
(-1 * 4 + 5n * 4) + 16 = 12 + -3(4 + -2n)
(-4 + 20n) + 16 = 12 + -3(4 + -2n)

Reorder the terms:
-4 + 16 + 20n = 12 + -3(4 + -2n)

Combine like terms: -4 + 16 = 12
12 + 20n = 12 + -3(4 + -2n)
12 + 20n = 12 + (4 * -3 + -2n * -3)
12 + 20n = 12 + (-12 + 6n)

Combine like terms: 12 + -12 = 0
12 + 20n = 0 + 6n
12 + 20n = 6n

Solving
12 + 20n = 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
12 + 20n + -6n = 6n + -6n

Combine like terms: 20n + -6n = 14n
12 + 14n = 6n + -6n

Combine like terms: 6n + -6n = 0
12 + 14n = 0

Add '-12' to each side of the equation.
12 + -12 + 14n = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 14n = 0 + -12
14n = 0 + -12

Combine like terms: 0 + -12 = -12
14n = -12

Divide each side by '14'.
n = -0.8571428571

Simplifying
n = -0.8571428571