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

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


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

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

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

Solving
-32 + 8f = -20 + 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.
-32 + 8f + -5f = -20 + 5f + -5f

Combine like terms: 8f + -5f = 3f
-32 + 3f = -20 + 5f + -5f

Combine like terms: 5f + -5f = 0
-32 + 3f = -20 + 0
-32 + 3f = -20

Add '32' to each side of the equation.
-32 + 32 + 3f = -20 + 32

Combine like terms: -32 + 32 = 0
0 + 3f = -20 + 32
3f = -20 + 32

Combine like terms: -20 + 32 = 12
3f = 12

Divide each side by '3'.
f = 4

Simplifying
f = 4

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