-3(3-3a)-8(6a+5)=32

Solution for -3(3-3a)-8(6a+5)=32 equation:

Simplifying
-3(3 + -3a) + -8(6a + 5) = 32
(3 * -3 + -3a * -3) + -8(6a + 5) = 32
(-9 + 9a) + -8(6a + 5) = 32

Reorder the terms:
-9 + 9a + -8(5 + 6a) = 32
-9 + 9a + (5 * -8 + 6a * -8) = 32
-9 + 9a + (-40 + -48a) = 32

Reorder the terms:
-9 + -40 + 9a + -48a = 32

Combine like terms: -9 + -40 = -49
-49 + 9a + -48a = 32

Combine like terms: 9a + -48a = -39a
-49 + -39a = 32

Solving
-49 + -39a = 32

Solving for variable 'a'.

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

Add '49' to each side of the equation.
-49 + 49 + -39a = 32 + 49

Combine like terms: -49 + 49 = 0
0 + -39a = 32 + 49
-39a = 32 + 49

Combine like terms: 32 + 49 = 81
-39a = 81

Divide each side by '-39'.
a = -2.076923077

Simplifying
a = -2.076923077