.67(-36+18a)=.5(8a-8)

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Solution for .67(-36+18a)=.5(8a-8) equation: 


Simplifying
0.67(-36 + 18a) = 0.5(8a + -8)
(-36 * 0.67 + 18a * 0.67) = 0.5(8a + -8)
(-24.12 + 12.06a) = 0.5(8a + -8)

Reorder the terms:
-24.12 + 12.06a = 0.5(-8 + 8a)
-24.12 + 12.06a = (-8 * 0.5 + 8a * 0.5)
-24.12 + 12.06a = (-4 + 4a)

Solving
-24.12 + 12.06a = -4 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-24.12 + 12.06a + -4a = -4 + 4a + -4a

Combine like terms: 12.06a + -4a = 8.06a
-24.12 + 8.06a = -4 + 4a + -4a

Combine like terms: 4a + -4a = 0
-24.12 + 8.06a = -4 + 0
-24.12 + 8.06a = -4

Add '24.12' to each side of the equation.
-24.12 + 24.12 + 8.06a = -4 + 24.12

Combine like terms: -24.12 + 24.12 = 0.00
0.00 + 8.06a = -4 + 24.12
8.06a = -4 + 24.12

Combine like terms: -4 + 24.12 = 20.12
8.06a = 20.12

Divide each side by '8.06'.
a = 2.496277916

Simplifying
a = 2.496277916

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