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

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


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

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

Combine like terms: 16f + -2f = 14f
-24 + 14f = 4(4f + -8)

Reorder the terms:
-24 + 14f = 4(-8 + 4f)
-24 + 14f = (-8 * 4 + 4f * 4)
-24 + 14f = (-32 + 16f)

Solving
-24 + 14f = -32 + 16f

Solving for variable 'f'.

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

Add '-16f' to each side of the equation.
-24 + 14f + -16f = -32 + 16f + -16f

Combine like terms: 14f + -16f = -2f
-24 + -2f = -32 + 16f + -16f

Combine like terms: 16f + -16f = 0
-24 + -2f = -32 + 0
-24 + -2f = -32

Add '24' to each side of the equation.
-24 + 24 + -2f = -32 + 24

Combine like terms: -24 + 24 = 0
0 + -2f = -32 + 24
-2f = -32 + 24

Combine like terms: -32 + 24 = -8
-2f = -8

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

Simplifying
f = 4

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