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

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

Simplifying
3(1 + -7a) + -3a = 3(a + 1)
(1 * 3 + -7a * 3) + -3a = 3(a + 1)
(3 + -21a) + -3a = 3(a + 1)

Combine like terms: -21a + -3a = -24a
3 + -24a = 3(a + 1)

Reorder the terms:
3 + -24a = 3(1 + a)
3 + -24a = (1 * 3 + a * 3)
3 + -24a = (3 + 3a)

Add '-3' to each side of the equation.
3 + -3 + -24a = 3 + -3 + 3a

Combine like terms: 3 + -3 = 0
0 + -24a = 3 + -3 + 3a
-24a = 3 + -3 + 3a

Combine like terms: 3 + -3 = 0
-24a = 0 + 3a
-24a = 3a

Solving
-24a = 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-24a + -3a = 3a + -3a

Combine like terms: -24a + -3a = -27a
-27a = 3a + -3a

Combine like terms: 3a + -3a = 0
-27a = 0

Divide each side by '-27'.
a = 0

Simplifying
a = 0