6-0.5(f-2)=0.1(3f-2)

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Solution for 6-0.5(f-2)=0.1(3f-2) equation: 


Simplifying
6 + -0.5(f + -2) = 0.1(3f + -2)

Reorder the terms:
6 + -0.5(-2 + f) = 0.1(3f + -2)
6 + (-2 * -0.5 + f * -0.5) = 0.1(3f + -2)
6 + (1 + -0.5f) = 0.1(3f + -2)

Combine like terms: 6 + 1 = 7
7 + -0.5f = 0.1(3f + -2)

Reorder the terms:
7 + -0.5f = 0.1(-2 + 3f)
7 + -0.5f = (-2 * 0.1 + 3f * 0.1)
7 + -0.5f = (-0.2 + 0.3f)

Solving
7 + -0.5f = -0.2 + 0.3f

Solving for variable 'f'.

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

Add '-0.3f' to each side of the equation.
7 + -0.5f + -0.3f = -0.2 + 0.3f + -0.3f

Combine like terms: -0.5f + -0.3f = -0.8f
7 + -0.8f = -0.2 + 0.3f + -0.3f

Combine like terms: 0.3f + -0.3f = 0.0
7 + -0.8f = -0.2 + 0.0
7 + -0.8f = -0.2

Add '-7' to each side of the equation.
7 + -7 + -0.8f = -0.2 + -7

Combine like terms: 7 + -7 = 0
0 + -0.8f = -0.2 + -7
-0.8f = -0.2 + -7

Combine like terms: -0.2 + -7 = -7.2
-0.8f = -7.2

Divide each side by '-0.8'.
f = 9

Simplifying
f = 9

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