8(2f-3)=4(5f-8)

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Solution for 8(2f-3)=4(5f-8) equation:


Simplifying
8(2f + -3) = 4(5f + -8)

Reorder the terms:
8(-3 + 2f) = 4(5f + -8)
(-3 * 8 + 2f * 8) = 4(5f + -8)
(-24 + 16f) = 4(5f + -8)

Reorder the terms:
-24 + 16f = 4(-8 + 5f)
-24 + 16f = (-8 * 4 + 5f * 4)
-24 + 16f = (-32 + 20f)

Solving
-24 + 16f = -32 + 20f

Solving for variable 'f'.

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

Add '-20f' to each side of the equation.
-24 + 16f + -20f = -32 + 20f + -20f

Combine like terms: 16f + -20f = -4f
-24 + -4f = -32 + 20f + -20f

Combine like terms: 20f + -20f = 0
-24 + -4f = -32 + 0
-24 + -4f = -32

Add '24' to each side of the equation.
-24 + 24 + -4f = -32 + 24

Combine like terms: -24 + 24 = 0
0 + -4f = -32 + 24
-4f = -32 + 24

Combine like terms: -32 + 24 = -8
-4f = -8

Divide each side by '-4'.
f = 2

Simplifying
f = 2

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