-2a+(7a-2)-[(-a)+3]=

Solution for -2a+(7a-2)-[(-a)+3]= equation:

Simplifying
-2a + (7a + -2) + -1[(-1a) + 3] = 0

Reorder the terms:
-2a + (-2 + 7a) + -1[(-1a) + 3] = 0

Remove parenthesis around (-2 + 7a)
-2a + -2 + 7a + -1[(-1a) + 3] = 0

Reorder the terms:
-2a + -2 + 7a + -1[3 + (-1a)] = 0
-2a + -2 + 7a + [3 * -1 + (-1a) * -1] = 0
-2a + -2 + 7a + [-3 + 1a] = 0

Reorder the terms:
-2 + -3 + -2a + 7a + 1a = 0

Combine like terms: -2 + -3 = -5
-5 + -2a + 7a + 1a = 0

Combine like terms: -2a + 7a = 5a
-5 + 5a + 1a = 0

Combine like terms: 5a + 1a = 6a
-5 + 6a = 0

Solving
-5 + 6a = 0

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 5 + 6a = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 6a = 0 + 5
6a = 0 + 5

Combine like terms: 0 + 5 = 5
6a = 5

Divide each side by '6'.
a = 0.8333333333

Simplifying
a = 0.8333333333