2(-3n+3)=-3[4n-5(-n+7)]

Solution for 2(-3n+3)=-3[4n-5(-n+7)] equation:

Simplifying
2(-3n + 3) = -3[4n + -5(-1n + 7)]

Reorder the terms:
2(3 + -3n) = -3[4n + -5(-1n + 7)]
(3 * 2 + -3n * 2) = -3[4n + -5(-1n + 7)]
(6 + -6n) = -3[4n + -5(-1n + 7)]

Reorder the terms:
6 + -6n = -3[4n + -5(7 + -1n)]
6 + -6n = -3[4n + (7 * -5 + -1n * -5)]
6 + -6n = -3[4n + (-35 + 5n)]

Reorder the terms:
6 + -6n = -3[-35 + 4n + 5n]

Combine like terms: 4n + 5n = 9n
6 + -6n = -3[-35 + 9n]
6 + -6n = [-35 * -3 + 9n * -3]
6 + -6n = [105 + -27n]

Solving
6 + -6n = 105 + -27n

Solving for variable 'n'.

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

Add '27n' to each side of the equation.
6 + -6n + 27n = 105 + -27n + 27n

Combine like terms: -6n + 27n = 21n
6 + 21n = 105 + -27n + 27n

Combine like terms: -27n + 27n = 0
6 + 21n = 105 + 0
6 + 21n = 105

Add '-6' to each side of the equation.
6 + -6 + 21n = 105 + -6

Combine like terms: 6 + -6 = 0
0 + 21n = 105 + -6
21n = 105 + -6

Combine like terms: 105 + -6 = 99
21n = 99

Divide each side by '21'.
n = 4.714285714

Simplifying
n = 4.714285714