16(3-3a)-8(6a+5)=32

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Solution for 16(3-3a)-8(6a+5)=32 equation: 


Simplifying
16(3 + -3a) + -8(6a + 5) = 32
(3 * 16 + -3a * 16) + -8(6a + 5) = 32
(48 + -48a) + -8(6a + 5) = 32

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

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

Combine like terms: 48 + -40 = 8
8 + -48a + -48a = 32

Combine like terms: -48a + -48a = -96a
8 + -96a = 32

Solving
8 + -96a = 32

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + -8 + -96a = 32 + -8

Combine like terms: 8 + -8 = 0
0 + -96a = 32 + -8
-96a = 32 + -8

Combine like terms: 32 + -8 = 24
-96a = 24

Divide each side by '-96'.
a = -0.25

Simplifying
a = -0.25

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