2(3n-1)-(n+6)=7

Solution for 2(3n-1)-(n+6)=7 equation:

Simplifying
2(3n + -1) + -1(n + 6) = 7

Reorder the terms:
2(-1 + 3n) + -1(n + 6) = 7
(-1 * 2 + 3n * 2) + -1(n + 6) = 7
(-2 + 6n) + -1(n + 6) = 7

Reorder the terms:
-2 + 6n + -1(6 + n) = 7
-2 + 6n + (6 * -1 + n * -1) = 7
-2 + 6n + (-6 + -1n) = 7

Reorder the terms:
-2 + -6 + 6n + -1n = 7

Combine like terms: -2 + -6 = -8
-8 + 6n + -1n = 7

Combine like terms: 6n + -1n = 5n
-8 + 5n = 7

Solving
-8 + 5n = 7

Solving for variable 'n'.

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

Add '8' to each side of the equation.
-8 + 8 + 5n = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 5n = 7 + 8
5n = 7 + 8

Combine like terms: 7 + 8 = 15
5n = 15

Divide each side by '5'.
n = 3

Simplifying
n = 3