6(a-5)+3(a+1)=-6

Solution for 6(a-5)+3(a+1)=-6 equation:

Simplifying
6(a + -5) + 3(a + 1) = -6

Reorder the terms:
6(-5 + a) + 3(a + 1) = -6
(-5 * 6 + a * 6) + 3(a + 1) = -6
(-30 + 6a) + 3(a + 1) = -6

Reorder the terms:
-30 + 6a + 3(1 + a) = -6
-30 + 6a + (1 * 3 + a * 3) = -6
-30 + 6a + (3 + 3a) = -6

Reorder the terms:
-30 + 3 + 6a + 3a = -6

Combine like terms: -30 + 3 = -27
-27 + 6a + 3a = -6

Combine like terms: 6a + 3a = 9a
-27 + 9a = -6

Solving
-27 + 9a = -6

Solving for variable 'a'.

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

Add '27' to each side of the equation.
-27 + 27 + 9a = -6 + 27

Combine like terms: -27 + 27 = 0
0 + 9a = -6 + 27
9a = -6 + 27

Combine like terms: -6 + 27 = 21
9a = 21

Divide each side by '9'.
a = 2.333333333

Simplifying
a = 2.333333333