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

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

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

Reorder the terms:
1 + 3a = -3 + -6(a + -1)

Reorder the terms:
1 + 3a = -3 + -6(-1 + a)
1 + 3a = -3 + (-1 * -6 + a * -6)
1 + 3a = -3 + (6 + -6a)

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

Solving
1 + 3a = 3 + -6a

Solving for variable 'a'.

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

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

Combine like terms: 3a + 6a = 9a
1 + 9a = 3 + -6a + 6a

Combine like terms: -6a + 6a = 0
1 + 9a = 3 + 0
1 + 9a = 3

Add '-1' to each side of the equation.
1 + -1 + 9a = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 9a = 3 + -1
9a = 3 + -1

Combine like terms: 3 + -1 = 2
9a = 2

Divide each side by '9'.
a = 0.2222222222

Simplifying
a = 0.2222222222