10n-3(2n-1)=1

Solution for 10n-3(2n-1)=1 equation:

Simplifying
10n + -3(2n + -1) = 1

Reorder the terms:
10n + -3(-1 + 2n) = 1
10n + (-1 * -3 + 2n * -3) = 1
10n + (3 + -6n) = 1

Reorder the terms:
3 + 10n + -6n = 1

Combine like terms: 10n + -6n = 4n
3 + 4n = 1

Solving
3 + 4n = 1

Solving for variable 'n'.

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

Add '-3' to each side of the equation.
3 + -3 + 4n = 1 + -3

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

Combine like terms: 1 + -3 = -2
4n = -2

Divide each side by '4'.
n = -0.5

Simplifying
n = -0.5