4(a+8)=.5(4a-8)

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Solution for 4(a+8)=.5(4a-8) equation: 


Simplifying
4(a + 8) = 0.5(4a + -8)

Reorder the terms:
4(8 + a) = 0.5(4a + -8)
(8 * 4 + a * 4) = 0.5(4a + -8)
(32 + 4a) = 0.5(4a + -8)

Reorder the terms:
32 + 4a = 0.5(-8 + 4a)
32 + 4a = (-8 * 0.5 + 4a * 0.5)
32 + 4a = (-4 + 2a)

Solving
32 + 4a = -4 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
32 + 4a + -2a = -4 + 2a + -2a

Combine like terms: 4a + -2a = 2a
32 + 2a = -4 + 2a + -2a

Combine like terms: 2a + -2a = 0
32 + 2a = -4 + 0
32 + 2a = -4

Add '-32' to each side of the equation.
32 + -32 + 2a = -4 + -32

Combine like terms: 32 + -32 = 0
0 + 2a = -4 + -32
2a = -4 + -32

Combine like terms: -4 + -32 = -36
2a = -36

Divide each side by '2'.
a = -18

Simplifying
a = -18

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