4(8a-2)-4(6a+2)=16

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Solution for 4(8a-2)-4(6a+2)=16 equation: 


Simplifying
4(8a + -2) + -4(6a + 2) = 16

Reorder the terms:
4(-2 + 8a) + -4(6a + 2) = 16
(-2 * 4 + 8a * 4) + -4(6a + 2) = 16
(-8 + 32a) + -4(6a + 2) = 16

Reorder the terms:
-8 + 32a + -4(2 + 6a) = 16
-8 + 32a + (2 * -4 + 6a * -4) = 16
-8 + 32a + (-8 + -24a) = 16

Reorder the terms:
-8 + -8 + 32a + -24a = 16

Combine like terms: -8 + -8 = -16
-16 + 32a + -24a = 16

Combine like terms: 32a + -24a = 8a
-16 + 8a = 16

Solving
-16 + 8a = 16

Solving for variable 'a'.

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

Add '16' to each side of the equation.
-16 + 16 + 8a = 16 + 16

Combine like terms: -16 + 16 = 0
0 + 8a = 16 + 16
8a = 16 + 16

Combine like terms: 16 + 16 = 32
8a = 32

Divide each side by '8'.
a = 4

Simplifying
a = 4

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