-3(n-2)+5n=2(-3n+4)-2n+1

Solution for -3(n-2)+5n=2(-3n+4)-2n+1 equation:

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

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

Combine like terms: -3n + 5n = 2n
6 + 2n = 2(-3n + 4) + -2n + 1

Reorder the terms:
6 + 2n = 2(4 + -3n) + -2n + 1
6 + 2n = (4 * 2 + -3n * 2) + -2n + 1
6 + 2n = (8 + -6n) + -2n + 1

Reorder the terms:
6 + 2n = 8 + 1 + -6n + -2n

Combine like terms: 8 + 1 = 9
6 + 2n = 9 + -6n + -2n

Combine like terms: -6n + -2n = -8n
6 + 2n = 9 + -8n

Solving
6 + 2n = 9 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
6 + 2n + 8n = 9 + -8n + 8n

Combine like terms: 2n + 8n = 10n
6 + 10n = 9 + -8n + 8n

Combine like terms: -8n + 8n = 0
6 + 10n = 9 + 0
6 + 10n = 9

Add '-6' to each side of the equation.
6 + -6 + 10n = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 10n = 9 + -6
10n = 9 + -6

Combine like terms: 9 + -6 = 3
10n = 3

Divide each side by '10'.
n = 0.3

Simplifying
n = 0.3