6(1-8a)+7(3a+8)=-73

Solution for 6(1-8a)+7(3a+8)=-73 equation:

Simplifying
6(1 + -8a) + 7(3a + 8) = -73
(1 * 6 + -8a * 6) + 7(3a + 8) = -73
(6 + -48a) + 7(3a + 8) = -73

Reorder the terms:
6 + -48a + 7(8 + 3a) = -73
6 + -48a + (8 * 7 + 3a * 7) = -73
6 + -48a + (56 + 21a) = -73

Reorder the terms:
6 + 56 + -48a + 21a = -73

Combine like terms: 6 + 56 = 62
62 + -48a + 21a = -73

Combine like terms: -48a + 21a = -27a
62 + -27a = -73

Solving
62 + -27a = -73

Solving for variable 'a'.

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

Add '-62' to each side of the equation.
62 + -62 + -27a = -73 + -62

Combine like terms: 62 + -62 = 0
0 + -27a = -73 + -62
-27a = -73 + -62

Combine like terms: -73 + -62 = -135
-27a = -135

Divide each side by '-27'.
a = 5

Simplifying
a = 5