3(2n+1)+-2(1-3n)=13

Solution for 3(2n+1)+-2(1-3n)=13 equation:

Simplifying
3(2n + 1) + -2(1 + -3n) = 13

Reorder the terms:
3(1 + 2n) + -2(1 + -3n) = 13
(1 * 3 + 2n * 3) + -2(1 + -3n) = 13
(3 + 6n) + -2(1 + -3n) = 13
3 + 6n + (1 * -2 + -3n * -2) = 13
3 + 6n + (-2 + 6n) = 13

Reorder the terms:
3 + -2 + 6n + 6n = 13

Combine like terms: 3 + -2 = 1
1 + 6n + 6n = 13

Combine like terms: 6n + 6n = 12n
1 + 12n = 13

Solving
1 + 12n = 13

Solving for variable 'n'.

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

Add '-1' to each side of the equation.
1 + -1 + 12n = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 12n = 13 + -1
12n = 13 + -1

Combine like terms: 13 + -1 = 12
12n = 12

Divide each side by '12'.
n = 1

Simplifying
n = 1