-2(-3+5n)-7n=-5n+30

Solution for -2(-3+5n)-7n=-5n+30 equation:

Simplifying
-2(-3 + 5n) + -7n = -5n + 30
(-3 * -2 + 5n * -2) + -7n = -5n + 30
(6 + -10n) + -7n = -5n + 30

Combine like terms: -10n + -7n = -17n
6 + -17n = -5n + 30

Reorder the terms:
6 + -17n = 30 + -5n

Solving
6 + -17n = 30 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
6 + -17n + 5n = 30 + -5n + 5n

Combine like terms: -17n + 5n = -12n
6 + -12n = 30 + -5n + 5n

Combine like terms: -5n + 5n = 0
6 + -12n = 30 + 0
6 + -12n = 30

Add '-6' to each side of the equation.
6 + -6 + -12n = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -12n = 30 + -6
-12n = 30 + -6

Combine like terms: 30 + -6 = 24
-12n = 24

Divide each side by '-12'.
n = -2

Simplifying
n = -2