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

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

Simplifying
3a + 6(1 + -7a) = -3(6 + 7a)
3a + (1 * 6 + -7a * 6) = -3(6 + 7a)
3a + (6 + -42a) = -3(6 + 7a)

Reorder the terms:
6 + 3a + -42a = -3(6 + 7a)

Combine like terms: 3a + -42a = -39a
6 + -39a = -3(6 + 7a)
6 + -39a = (6 * -3 + 7a * -3)
6 + -39a = (-18 + -21a)

Solving
6 + -39a = -18 + -21a

Solving for variable 'a'.

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

Add '21a' to each side of the equation.
6 + -39a + 21a = -18 + -21a + 21a

Combine like terms: -39a + 21a = -18a
6 + -18a = -18 + -21a + 21a

Combine like terms: -21a + 21a = 0
6 + -18a = -18 + 0
6 + -18a = -18

Add '-6' to each side of the equation.
6 + -6 + -18a = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -18a = -18 + -6
-18a = -18 + -6

Combine like terms: -18 + -6 = -24
-18a = -24

Divide each side by '-18'.
a = 1.333333333

Simplifying
a = 1.333333333