.16(a-4)=.333(2a+4)

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Solution for .16(a-4)=.333(2a+4) equation: 


Simplifying
0.16(a + -4) = 0.333(2a + 4)

Reorder the terms:
0.16(-4 + a) = 0.333(2a + 4)
(-4 * 0.16 + a * 0.16) = 0.333(2a + 4)
(-0.64 + 0.16a) = 0.333(2a + 4)

Reorder the terms:
-0.64 + 0.16a = 0.333(4 + 2a)
-0.64 + 0.16a = (4 * 0.333 + 2a * 0.333)
-0.64 + 0.16a = (1.332 + 0.666a)

Solving
-0.64 + 0.16a = 1.332 + 0.666a

Solving for variable 'a'.

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

Add '-0.666a' to each side of the equation.
-0.64 + 0.16a + -0.666a = 1.332 + 0.666a + -0.666a

Combine like terms: 0.16a + -0.666a = -0.506a
-0.64 + -0.506a = 1.332 + 0.666a + -0.666a

Combine like terms: 0.666a + -0.666a = 0.000
-0.64 + -0.506a = 1.332 + 0.000
-0.64 + -0.506a = 1.332

Add '0.64' to each side of the equation.
-0.64 + 0.64 + -0.506a = 1.332 + 0.64

Combine like terms: -0.64 + 0.64 = 0.00
0.00 + -0.506a = 1.332 + 0.64
-0.506a = 1.332 + 0.64

Combine like terms: 1.332 + 0.64 = 1.972
-0.506a = 1.972

Divide each side by '-0.506'.
a = -3.897233202

Simplifying
a = -3.897233202

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