2a-6(a-1)=-34

Solution for 2a-6(a-1)=-34 equation:

Simplifying
2a + -6(a + -1) = -34

Reorder the terms:
2a + -6(-1 + a) = -34
2a + (-1 * -6 + a * -6) = -34
2a + (6 + -6a) = -34

Reorder the terms:
6 + 2a + -6a = -34

Combine like terms: 2a + -6a = -4a
6 + -4a = -34

Solving
6 + -4a = -34

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + -4a = -34 + -6

Combine like terms: 6 + -6 = 0
0 + -4a = -34 + -6
-4a = -34 + -6

Combine like terms: -34 + -6 = -40
-4a = -40

Divide each side by '-4'.
a = 10

Simplifying
a = 10