6(a+1)-3(a+4)=-12

Solution for 6(a+1)-3(a+4)=-12 equation:

Simplifying
6(a + 1) + -3(a + 4) = -12

Reorder the terms:
6(1 + a) + -3(a + 4) = -12
(1 * 6 + a * 6) + -3(a + 4) = -12
(6 + 6a) + -3(a + 4) = -12

Reorder the terms:
6 + 6a + -3(4 + a) = -12
6 + 6a + (4 * -3 + a * -3) = -12
6 + 6a + (-12 + -3a) = -12

Reorder the terms:
6 + -12 + 6a + -3a = -12

Combine like terms: 6 + -12 = -6
-6 + 6a + -3a = -12

Combine like terms: 6a + -3a = 3a
-6 + 3a = -12

Solving
-6 + 3a = -12

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 3a = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 3a = -12 + 6
3a = -12 + 6

Combine like terms: -12 + 6 = -6
3a = -6

Divide each side by '3'.
a = -2

Simplifying
a = -2