(2n-1)-(-7n+2)=

Solution for (2n-1)-(-7n+2)= equation:

Simplifying
(2n + -1) + -1(-7n + 2) = 0

Reorder the terms:
(-1 + 2n) + -1(-7n + 2) = 0

Remove parenthesis around (-1 + 2n)
-1 + 2n + -1(-7n + 2) = 0

Reorder the terms:
-1 + 2n + -1(2 + -7n) = 0
-1 + 2n + (2 * -1 + -7n * -1) = 0
-1 + 2n + (-2 + 7n) = 0

Reorder the terms:
-1 + -2 + 2n + 7n = 0

Combine like terms: -1 + -2 = -3
-3 + 2n + 7n = 0

Combine like terms: 2n + 7n = 9n
-3 + 9n = 0

Solving
-3 + 9n = 0

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 + 9n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 9n = 0 + 3
9n = 0 + 3

Combine like terms: 0 + 3 = 3
9n = 3

Divide each side by '9'.
n = 0.3333333333

Simplifying
n = 0.3333333333