3n-7(6-7n)=114

Solution for 3n-7(6-7n)=114 equation:

Simplifying
3n + -7(6 + -7n) = 114
3n + (6 * -7 + -7n * -7) = 114
3n + (-42 + 49n) = 114

Reorder the terms:
-42 + 3n + 49n = 114

Combine like terms: 3n + 49n = 52n
-42 + 52n = 114

Solving
-42 + 52n = 114

Solving for variable 'n'.

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

Add '42' to each side of the equation.
-42 + 42 + 52n = 114 + 42

Combine like terms: -42 + 42 = 0
0 + 52n = 114 + 42
52n = 114 + 42

Combine like terms: 114 + 42 = 156
52n = 156

Divide each side by '52'.
n = 3

Simplifying
n = 3