114=8n-3(2-4n)

Solution for 114=8n-3(2-4n) equation:

Simplifying
114 = 8n + -3(2 + -4n)
114 = 8n + (2 * -3 + -4n * -3)
114 = 8n + (-6 + 12n)

Reorder the terms:
114 = -6 + 8n + 12n

Combine like terms: 8n + 12n = 20n
114 = -6 + 20n

Solving
114 = -6 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
114 + -20n = -6 + 20n + -20n

Combine like terms: 20n + -20n = 0
114 + -20n = -6 + 0
114 + -20n = -6

Add '-114' to each side of the equation.
114 + -114 + -20n = -6 + -114

Combine like terms: 114 + -114 = 0
0 + -20n = -6 + -114
-20n = -6 + -114

Combine like terms: -6 + -114 = -120
-20n = -120

Divide each side by '-20'.
n = 6

Simplifying
n = 6