5n-2(n-3)=-6

Solution for 5n-2(n-3)=-6 equation:

Simplifying
5n + -2(n + -3) = -6

Reorder the terms:
5n + -2(-3 + n) = -6
5n + (-3 * -2 + n * -2) = -6
5n + (6 + -2n) = -6

Reorder the terms:
6 + 5n + -2n = -6

Combine like terms: 5n + -2n = 3n
6 + 3n = -6

Solving
6 + 3n = -6

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + 3n = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 3n = -6 + -6
3n = -6 + -6

Combine like terms: -6 + -6 = -12
3n = -12

Divide each side by '3'.
n = -4

Simplifying
n = -4