7n-3(4n-1)=13

Solution for 7n-3(4n-1)=13 equation:

Simplifying
7n + -3(4n + -1) = 13

Reorder the terms:
7n + -3(-1 + 4n) = 13
7n + (-1 * -3 + 4n * -3) = 13
7n + (3 + -12n) = 13

Reorder the terms:
3 + 7n + -12n = 13

Combine like terms: 7n + -12n = -5n
3 + -5n = 13

Solving
3 + -5n = 13

Solving for variable 'n'.

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

Add '-3' to each side of the equation.
3 + -3 + -5n = 13 + -3

Combine like terms: 3 + -3 = 0
0 + -5n = 13 + -3
-5n = 13 + -3

Combine like terms: 13 + -3 = 10
-5n = 10

Divide each side by '-5'.
n = -2

Simplifying
n = -2