2(1-1)=3(a+1)

Solution for 2(1-1)=3(a+1) equation:

Simplifying
2(1 + -1) = 3(a + 1)

Combine like terms: 1 + -1 = 0
2(0) = 3(a + 1)

Multiply 2 * 0
0 = 3(a + 1)

Anything times zero is zero.
0 = 3(a + 1)

Reorder the terms:
0 = 3(1 + a)
0 = (1 * 3 + a * 3)
0 = (3 + 3a)

Solving
0 = 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.
0 + -3a = 3 + 3a + -3a
Remove the zero:
-3a = 3 + 3a + -3a

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

Divide each side by '-3'.
a = -1

Simplifying
a = -1