2(a-8)-8(a-5)=-12

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Solution for 2(a-8)-8(a-5)=-12 equation: 


Simplifying
2(a + -8) + -8(a + -5) = -12

Reorder the terms:
2(-8 + a) + -8(a + -5) = -12
(-8 * 2 + a * 2) + -8(a + -5) = -12
(-16 + 2a) + -8(a + -5) = -12

Reorder the terms:
-16 + 2a + -8(-5 + a) = -12
-16 + 2a + (-5 * -8 + a * -8) = -12
-16 + 2a + (40 + -8a) = -12

Reorder the terms:
-16 + 40 + 2a + -8a = -12

Combine like terms: -16 + 40 = 24
24 + 2a + -8a = -12

Combine like terms: 2a + -8a = -6a
24 + -6a = -12

Solving
24 + -6a = -12

Solving for variable 'a'.

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

Add '-24' to each side of the equation.
24 + -24 + -6a = -12 + -24

Combine like terms: 24 + -24 = 0
0 + -6a = -12 + -24
-6a = -12 + -24

Combine like terms: -12 + -24 = -36
-6a = -36

Divide each side by '-6'.
a = 6

Simplifying
a = 6

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