3(2n+4)-7(n-6)=

Solution for 3(2n+4)-7(n-6)= equation:

Simplifying
3(2n + 4) + -7(n + -6) = 0

Reorder the terms:
3(4 + 2n) + -7(n + -6) = 0
(4 * 3 + 2n * 3) + -7(n + -6) = 0
(12 + 6n) + -7(n + -6) = 0

Reorder the terms:
12 + 6n + -7(-6 + n) = 0
12 + 6n + (-6 * -7 + n * -7) = 0
12 + 6n + (42 + -7n) = 0

Reorder the terms:
12 + 42 + 6n + -7n = 0

Combine like terms: 12 + 42 = 54
54 + 6n + -7n = 0

Combine like terms: 6n + -7n = -1n
54 + -1n = 0

Solving
54 + -1n = 0

Solving for variable 'n'.

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

Add '-54' to each side of the equation.
54 + -54 + -1n = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -1n = 0 + -54
-1n = 0 + -54

Combine like terms: 0 + -54 = -54
-1n = -54

Divide each side by '-1'.
n = 54

Simplifying
n = 54