4+(3n-6)=1+(3*6)

Solution for 4+(3n-6)=1+(3*6) equation:

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

Reorder the terms:
4 + (-6 + 3n) = 1 + (3 * 6)

Remove parenthesis around (-6 + 3n)
4 + -6 + 3n = 1 + (3 * 6)

Combine like terms: 4 + -6 = -2
-2 + 3n = 1 + (3 * 6)

Multiply 3 * 6
-2 + 3n = 1 + (18)
-2 + 3n = 1 + 18

Combine like terms: 1 + 18 = 19
-2 + 3n = 19

Solving
-2 + 3n = 19

Solving for variable 'n'.

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

Add '2' to each side of the equation.
-2 + 2 + 3n = 19 + 2

Combine like terms: -2 + 2 = 0
0 + 3n = 19 + 2
3n = 19 + 2

Combine like terms: 19 + 2 = 21
3n = 21

Divide each side by '3'.
n = 7

Simplifying
n = 7