3a+6(1-a)=7-4a

Solution for 3a+6(1-a)=7-4a equation:

Simplifying
3a + 6(1 + -1a) = 7 + -4a
3a + (1 * 6 + -1a * 6) = 7 + -4a
3a + (6 + -6a) = 7 + -4a

Reorder the terms:
6 + 3a + -6a = 7 + -4a

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

Solving
6 + -3a = 7 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
6 + -3a + 4a = 7 + -4a + 4a

Combine like terms: -3a + 4a = 1a
6 + 1a = 7 + -4a + 4a

Combine like terms: -4a + 4a = 0
6 + 1a = 7 + 0
6 + 1a = 7

Add '-6' to each side of the equation.
6 + -6 + 1a = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = 7 + -6
1a = 7 + -6

Combine like terms: 7 + -6 = 1
1a = 1

Divide each side by '1'.
a = 1

Simplifying
a = 1