7.2f+5(f-8.1)=0.6f+15.8

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Solution for 7.2f+5(f-8.1)=0.6f+15.8 equation: 


Simplifying
7.2f + 5(f + -8.1) = 0.6f + 15.8

Reorder the terms:
7.2f + 5(-8.1 + f) = 0.6f + 15.8
7.2f + (-8.1 * 5 + f * 5) = 0.6f + 15.8
7.2f + (-40.5 + 5f) = 0.6f + 15.8

Reorder the terms:
-40.5 + 7.2f + 5f = 0.6f + 15.8

Combine like terms: 7.2f + 5f = 12.2f
-40.5 + 12.2f = 0.6f + 15.8

Reorder the terms:
-40.5 + 12.2f = 15.8 + 0.6f

Solving
-40.5 + 12.2f = 15.8 + 0.6f

Solving for variable 'f'.

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

Add '-0.6f' to each side of the equation.
-40.5 + 12.2f + -0.6f = 15.8 + 0.6f + -0.6f

Combine like terms: 12.2f + -0.6f = 11.6f
-40.5 + 11.6f = 15.8 + 0.6f + -0.6f

Combine like terms: 0.6f + -0.6f = 0.0
-40.5 + 11.6f = 15.8 + 0.0
-40.5 + 11.6f = 15.8

Add '40.5' to each side of the equation.
-40.5 + 40.5 + 11.6f = 15.8 + 40.5

Combine like terms: -40.5 + 40.5 = 0.0
0.0 + 11.6f = 15.8 + 40.5
11.6f = 15.8 + 40.5

Combine like terms: 15.8 + 40.5 = 56.3
11.6f = 56.3

Divide each side by '11.6'.
f = 4.853448276

Simplifying
f = 4.853448276

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