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

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

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

Combine like terms: 3 + -3 = 0
-6(0) + -8(6a + 5) = 32

Multiply -6 * 0
0 + -8(6a + 5) = 32

Anything times zero is zero.
0 + -8(6a + 5) = 32

Reorder the terms:
0 + -8(5 + 6a) = 32
0 + (5 * -8 + 6a * -8) = 32
0 + (-40 + -48a) = 32

Combine like terms: 0 + -40 = -40
-40 + -48a = 32

Solving
-40 + -48a = 32

Solving for variable 'a'.

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

Add '40' to each side of the equation.
-40 + 40 + -48a = 32 + 40

Combine like terms: -40 + 40 = 0
0 + -48a = 32 + 40
-48a = 32 + 40

Combine like terms: 32 + 40 = 72
-48a = 72

Divide each side by '-48'.
a = -1.5

Simplifying
a = -1.5