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

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

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

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

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

Solving
1 + 3a = 3 + -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.
1 + 3a + 3a = 3 + -3a + 3a

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

Combine like terms: -3a + 3a = 0
1 + 6a = 3 + 0
1 + 6a = 3

Add '-1' to each side of the equation.
1 + -1 + 6a = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 6a = 3 + -1
6a = 3 + -1

Combine like terms: 3 + -1 = 2
6a = 2

Divide each side by '6'.
a = 0.3333333333

Simplifying
a = 0.3333333333