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

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

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

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

Remove parenthesis around (-2n)
-3 + 3n = 5n + 3 * -2n

Multiply 3 * -2
-3 + 3n = 5n + -6n

Combine like terms: 5n + -6n = -1n
-3 + 3n = -1n

Solving
-3 + 3n = -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-3 + 3n + n = -1n + n

Combine like terms: 3n + n = 4n
-3 + 4n = -1n + n

Combine like terms: -1n + n = 0
-3 + 4n = 0

Add '3' to each side of the equation.
-3 + 3 + 4n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4n = 0 + 3
4n = 0 + 3

Combine like terms: 0 + 3 = 3
4n = 3

Divide each side by '4'.
n = 0.75

Simplifying
n = 0.75