6(a-8)-5(a-3)=-27

Solution for 6(a-8)-5(a-3)=-27 equation:

Simplifying
6(a + -8) + -5(a + -3) = -27

Reorder the terms:
6(-8 + a) + -5(a + -3) = -27
(-8 * 6 + a * 6) + -5(a + -3) = -27
(-48 + 6a) + -5(a + -3) = -27

Reorder the terms:
-48 + 6a + -5(-3 + a) = -27
-48 + 6a + (-3 * -5 + a * -5) = -27
-48 + 6a + (15 + -5a) = -27

Reorder the terms:
-48 + 15 + 6a + -5a = -27

Combine like terms: -48 + 15 = -33
-33 + 6a + -5a = -27

Combine like terms: 6a + -5a = 1a
-33 + 1a = -27

Solving
-33 + 1a = -27

Solving for variable 'a'.

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

Add '33' to each side of the equation.
-33 + 33 + 1a = -27 + 33

Combine like terms: -33 + 33 = 0
0 + 1a = -27 + 33
1a = -27 + 33

Combine like terms: -27 + 33 = 6
1a = 6

Divide each side by '1'.
a = 6

Simplifying
a = 6