5(a+4.1)=11a-12.5

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Solution for 5(a+4.1)=11a-12.5 equation: 


Simplifying
5(a + 4.1) = 11a + -12.5

Reorder the terms:
5(4.1 + a) = 11a + -12.5
(4.1 * 5 + a * 5) = 11a + -12.5
(20.5 + 5a) = 11a + -12.5

Reorder the terms:
20.5 + 5a = -12.5 + 11a

Solving
20.5 + 5a = -12.5 + 11a

Solving for variable 'a'.

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

Add '-11a' to each side of the equation.
20.5 + 5a + -11a = -12.5 + 11a + -11a

Combine like terms: 5a + -11a = -6a
20.5 + -6a = -12.5 + 11a + -11a

Combine like terms: 11a + -11a = 0
20.5 + -6a = -12.5 + 0
20.5 + -6a = -12.5

Add '-20.5' to each side of the equation.
20.5 + -20.5 + -6a = -12.5 + -20.5

Combine like terms: 20.5 + -20.5 = 0.0
0.0 + -6a = -12.5 + -20.5
-6a = -12.5 + -20.5

Combine like terms: -12.5 + -20.5 = -33
-6a = -33

Divide each side by '-6'.
a = 5.5

Simplifying
a = 5.5

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