2-0.5(f-9)=0.8(f-9)

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Solution for 2-0.5(f-9)=0.8(f-9) equation: 


Simplifying
2 + -0.5(f + -9) = 0.8(f + -9)

Reorder the terms:
2 + -0.5(-9 + f) = 0.8(f + -9)
2 + (-9 * -0.5 + f * -0.5) = 0.8(f + -9)
2 + (4.5 + -0.5f) = 0.8(f + -9)

Combine like terms: 2 + 4.5 = 6.5
6.5 + -0.5f = 0.8(f + -9)

Reorder the terms:
6.5 + -0.5f = 0.8(-9 + f)
6.5 + -0.5f = (-9 * 0.8 + f * 0.8)
6.5 + -0.5f = (-7.2 + 0.8f)

Solving
6.5 + -0.5f = -7.2 + 0.8f

Solving for variable 'f'.

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

Add '-0.8f' to each side of the equation.
6.5 + -0.5f + -0.8f = -7.2 + 0.8f + -0.8f

Combine like terms: -0.5f + -0.8f = -1.3f
6.5 + -1.3f = -7.2 + 0.8f + -0.8f

Combine like terms: 0.8f + -0.8f = 0.0
6.5 + -1.3f = -7.2 + 0.0
6.5 + -1.3f = -7.2

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -1.3f = -7.2 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -1.3f = -7.2 + -6.5
-1.3f = -7.2 + -6.5

Combine like terms: -7.2 + -6.5 = -13.7
-1.3f = -13.7

Divide each side by '-1.3'.
f = 10.53846154

Simplifying
f = 10.53846154

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