7.2f+5(f-8.1)=-0.06f+15.18

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Solution for 7.2f+5(f-8.1)=-0.06f+15.18 equation:


Simplifying
7.2f + 5(f + -8.1) = -0.06f + 15.18

Reorder the terms:
7.2f + 5(-8.1 + f) = -0.06f + 15.18
7.2f + (-8.1 * 5 + f * 5) = -0.06f + 15.18
7.2f + (-40.5 + 5f) = -0.06f + 15.18

Reorder the terms:
-40.5 + 7.2f + 5f = -0.06f + 15.18

Combine like terms: 7.2f + 5f = 12.2f
-40.5 + 12.2f = -0.06f + 15.18

Reorder the terms:
-40.5 + 12.2f = 15.18 + -0.06f

Solving
-40.5 + 12.2f = 15.18 + -0.06f

Solving for variable 'f'.

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

Add '0.06f' to each side of the equation.
-40.5 + 12.2f + 0.06f = 15.18 + -0.06f + 0.06f

Combine like terms: 12.2f + 0.06f = 12.26f
-40.5 + 12.26f = 15.18 + -0.06f + 0.06f

Combine like terms: -0.06f + 0.06f = 0.00
-40.5 + 12.26f = 15.18 + 0.00
-40.5 + 12.26f = 15.18

Add '40.5' to each side of the equation.
-40.5 + 40.5 + 12.26f = 15.18 + 40.5

Combine like terms: -40.5 + 40.5 = 0.0
0.0 + 12.26f = 15.18 + 40.5
12.26f = 15.18 + 40.5

Combine like terms: 15.18 + 40.5 = 55.68
12.26f = 55.68

Divide each side by '12.26'.
f = 4.541598695

Simplifying
f = 4.541598695

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