0.5=4.1a-2(1.3a-4)

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Solution for 0.5=4.1a-2(1.3a-4) equation: 


Simplifying
0.5 = 4.1a + -2(1.3a + -4)

Reorder the terms:
0.5 = 4.1a + -2(-4 + 1.3a)
0.5 = 4.1a + (-4 * -2 + 1.3a * -2)
0.5 = 4.1a + (8 + -2.6a)

Reorder the terms:
0.5 = 8 + 4.1a + -2.6a

Combine like terms: 4.1a + -2.6a = 1.5a
0.5 = 8 + 1.5a

Solving
0.5 = 8 + 1.5a

Solving for variable 'a'.

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

Add '-1.5a' to each side of the equation.
0.5 + -1.5a = 8 + 1.5a + -1.5a

Combine like terms: 1.5a + -1.5a = 0.0
0.5 + -1.5a = 8 + 0.0
0.5 + -1.5a = 8

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -1.5a = 8 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.5a = 8 + -0.5
-1.5a = 8 + -0.5

Combine like terms: 8 + -0.5 = 7.5
-1.5a = 7.5

Divide each side by '-1.5'.
a = -5

Simplifying
a = -5

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