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

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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 = 22
22 + 18a + -48a = 32

Combine like terms: 18a + -48a = -30a
22 + -30a = 32

Solving
22 + -30a = 32

Solving for variable 'a'.

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

Add '-22' to each side of the equation.
22 + -22 + -30a = 32 + -22

Combine like terms: 22 + -22 = 0
0 + -30a = 32 + -22
-30a = 32 + -22

Combine like terms: 32 + -22 = 10
-30a = 10

Divide each side by '-30'.
a = -0.3333333333

Simplifying
a = -0.3333333333

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