28-2(f+3)=5(f-1)

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Solution for 28-2(f+3)=5(f-1) equation:


Simplifying
28 + -2(f + 3) = 5(f + -1)

Reorder the terms:
28 + -2(3 + f) = 5(f + -1)
28 + (3 * -2 + f * -2) = 5(f + -1)
28 + (-6 + -2f) = 5(f + -1)

Combine like terms: 28 + -6 = 22
22 + -2f = 5(f + -1)

Reorder the terms:
22 + -2f = 5(-1 + f)
22 + -2f = (-1 * 5 + f * 5)
22 + -2f = (-5 + 5f)

Solving
22 + -2f = -5 + 5f

Solving for variable 'f'.

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

Add '-5f' to each side of the equation.
22 + -2f + -5f = -5 + 5f + -5f

Combine like terms: -2f + -5f = -7f
22 + -7f = -5 + 5f + -5f

Combine like terms: 5f + -5f = 0
22 + -7f = -5 + 0
22 + -7f = -5

Add '-22' to each side of the equation.
22 + -22 + -7f = -5 + -22

Combine like terms: 22 + -22 = 0
0 + -7f = -5 + -22
-7f = -5 + -22

Combine like terms: -5 + -22 = -27
-7f = -27

Divide each side by '-7'.
f = 3.857142857

Simplifying
f = 3.857142857

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