11(f+3)=22(f-2)

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Solution for 11(f+3)=22(f-2) equation:


Simplifying
11(f + 3) = 22(f + -2)

Reorder the terms:
11(3 + f) = 22(f + -2)
(3 * 11 + f * 11) = 22(f + -2)
(33 + 11f) = 22(f + -2)

Reorder the terms:
33 + 11f = 22(-2 + f)
33 + 11f = (-2 * 22 + f * 22)
33 + 11f = (-44 + 22f)

Solving
33 + 11f = -44 + 22f

Solving for variable 'f'.

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

Add '-22f' to each side of the equation.
33 + 11f + -22f = -44 + 22f + -22f

Combine like terms: 11f + -22f = -11f
33 + -11f = -44 + 22f + -22f

Combine like terms: 22f + -22f = 0
33 + -11f = -44 + 0
33 + -11f = -44

Add '-33' to each side of the equation.
33 + -33 + -11f = -44 + -33

Combine like terms: 33 + -33 = 0
0 + -11f = -44 + -33
-11f = -44 + -33

Combine like terms: -44 + -33 = -77
-11f = -77

Divide each side by '-11'.
f = 7

Simplifying
f = 7

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