-6n+2(3-n)=102+4(n+6)

Solution for -6n+2(3-n)=102+4(n+6) equation:

Simplifying
-6n + 2(3 + -1n) = 102 + 4(n + 6)
-6n + (3 * 2 + -1n * 2) = 102 + 4(n + 6)
-6n + (6 + -2n) = 102 + 4(n + 6)

Reorder the terms:
6 + -6n + -2n = 102 + 4(n + 6)

Combine like terms: -6n + -2n = -8n
6 + -8n = 102 + 4(n + 6)

Reorder the terms:
6 + -8n = 102 + 4(6 + n)
6 + -8n = 102 + (6 * 4 + n * 4)
6 + -8n = 102 + (24 + 4n)

Combine like terms: 102 + 24 = 126
6 + -8n = 126 + 4n

Solving
6 + -8n = 126 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
6 + -8n + -4n = 126 + 4n + -4n

Combine like terms: -8n + -4n = -12n
6 + -12n = 126 + 4n + -4n

Combine like terms: 4n + -4n = 0
6 + -12n = 126 + 0
6 + -12n = 126

Add '-6' to each side of the equation.
6 + -6 + -12n = 126 + -6

Combine like terms: 6 + -6 = 0
0 + -12n = 126 + -6
-12n = 126 + -6

Combine like terms: 126 + -6 = 120
-12n = 120

Divide each side by '-12'.
n = -10

Simplifying
n = -10