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

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

Simplifying
-6(3 + 3a) + -8(6a + 5) = 32
(3 * -6 + 3a * -6) + -8(6a + 5) = 32
(-18 + -18a) + -8(6a + 5) = 32

Reorder the terms:
-18 + -18a + -8(5 + 6a) = 32
-18 + -18a + (5 * -8 + 6a * -8) = 32
-18 + -18a + (-40 + -48a) = 32

Reorder the terms:
-18 + -40 + -18a + -48a = 32

Combine like terms: -18 + -40 = -58
-58 + -18a + -48a = 32

Combine like terms: -18a + -48a = -66a
-58 + -66a = 32

Solving
-58 + -66a = 32

Solving for variable 'a'.

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

Add '58' to each side of the equation.
-58 + 58 + -66a = 32 + 58

Combine like terms: -58 + 58 = 0
0 + -66a = 32 + 58
-66a = 32 + 58

Combine like terms: 32 + 58 = 90
-66a = 90

Divide each side by '-66'.
a = -1.363636364

Simplifying
a = -1.363636364