3(1-2a)-(6-2a)=-7

Solution for 3(1-2a)-(6-2a)=-7 equation:

Simplifying
3(1 + -2a) + -1(6 + -2a) = -7
(1 * 3 + -2a * 3) + -1(6 + -2a) = -7
(3 + -6a) + -1(6 + -2a) = -7
3 + -6a + (6 * -1 + -2a * -1) = -7
3 + -6a + (-6 + 2a) = -7

Reorder the terms:
3 + -6 + -6a + 2a = -7

Combine like terms: 3 + -6 = -3
-3 + -6a + 2a = -7

Combine like terms: -6a + 2a = -4a
-3 + -4a = -7

Solving
-3 + -4a = -7

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + 3 + -4a = -7 + 3

Combine like terms: -3 + 3 = 0
0 + -4a = -7 + 3
-4a = -7 + 3

Combine like terms: -7 + 3 = -4
-4a = -4

Divide each side by '-4'.
a = 1

Simplifying
a = 1