0.2(24-7.5a)-6.1=4.1

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Solution for 0.2(24-7.5a)-6.1=4.1 equation: 


Simplifying
0.2(24 + -7.5a) + -6.1 = 4.1
(24 * 0.2 + -7.5a * 0.2) + -6.1 = 4.1
(4.8 + -1.5a) + -6.1 = 4.1

Reorder the terms:
4.8 + -6.1 + -1.5a = 4.1

Combine like terms: 4.8 + -6.1 = -1.3
-1.3 + -1.5a = 4.1

Solving
-1.3 + -1.5a = 4.1

Solving for variable 'a'.

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

Add '1.3' to each side of the equation.
-1.3 + 1.3 + -1.5a = 4.1 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + -1.5a = 4.1 + 1.3
-1.5a = 4.1 + 1.3

Combine like terms: 4.1 + 1.3 = 5.4
-1.5a = 5.4

Divide each side by '-1.5'.
a = -3.6

Simplifying
a = -3.6

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