0.5(4a+0.33)=0.16(6a-1)

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Solution for 0.5(4a+0.33)=0.16(6a-1) equation: 


Simplifying
0.5(4a + 0.33) = 0.16(6a + -1)

Reorder the terms:
0.5(0.33 + 4a) = 0.16(6a + -1)
(0.33 * 0.5 + 4a * 0.5) = 0.16(6a + -1)
(0.165 + 2a) = 0.16(6a + -1)

Reorder the terms:
0.165 + 2a = 0.16(-1 + 6a)
0.165 + 2a = (-1 * 0.16 + 6a * 0.16)
0.165 + 2a = (-0.16 + 0.96a)

Solving
0.165 + 2a = -0.16 + 0.96a

Solving for variable 'a'.

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

Add '-0.96a' to each side of the equation.
0.165 + 2a + -0.96a = -0.16 + 0.96a + -0.96a

Combine like terms: 2a + -0.96a = 1.04a
0.165 + 1.04a = -0.16 + 0.96a + -0.96a

Combine like terms: 0.96a + -0.96a = 0.00
0.165 + 1.04a = -0.16 + 0.00
0.165 + 1.04a = -0.16

Add '-0.165' to each side of the equation.
0.165 + -0.165 + 1.04a = -0.16 + -0.165

Combine like terms: 0.165 + -0.165 = 0.000
0.000 + 1.04a = -0.16 + -0.165
1.04a = -0.16 + -0.165

Combine like terms: -0.16 + -0.165 = -0.325
1.04a = -0.325

Divide each side by '1.04'.
a = -0.3125

Simplifying
a = -0.3125

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