11(3f-4)=7(5f-8)

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Solution for 11(3f-4)=7(5f-8) equation:


Simplifying
11(3f + -4) = 7(5f + -8)

Reorder the terms:
11(-4 + 3f) = 7(5f + -8)
(-4 * 11 + 3f * 11) = 7(5f + -8)
(-44 + 33f) = 7(5f + -8)

Reorder the terms:
-44 + 33f = 7(-8 + 5f)
-44 + 33f = (-8 * 7 + 5f * 7)
-44 + 33f = (-56 + 35f)

Solving
-44 + 33f = -56 + 35f

Solving for variable 'f'.

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

Add '-35f' to each side of the equation.
-44 + 33f + -35f = -56 + 35f + -35f

Combine like terms: 33f + -35f = -2f
-44 + -2f = -56 + 35f + -35f

Combine like terms: 35f + -35f = 0
-44 + -2f = -56 + 0
-44 + -2f = -56

Add '44' to each side of the equation.
-44 + 44 + -2f = -56 + 44

Combine like terms: -44 + 44 = 0
0 + -2f = -56 + 44
-2f = -56 + 44

Combine like terms: -56 + 44 = -12
-2f = -12

Divide each side by '-2'.
f = 6

Simplifying
f = 6

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