2(10-2f)=8(4-f)

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Solution for 2(10-2f)=8(4-f) equation:


Simplifying
2(10 + -2f) = 8(4 + -1f)
(10 * 2 + -2f * 2) = 8(4 + -1f)
(20 + -4f) = 8(4 + -1f)
20 + -4f = (4 * 8 + -1f * 8)
20 + -4f = (32 + -8f)

Solving
20 + -4f = 32 + -8f

Solving for variable 'f'.

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

Add '8f' to each side of the equation.
20 + -4f + 8f = 32 + -8f + 8f

Combine like terms: -4f + 8f = 4f
20 + 4f = 32 + -8f + 8f

Combine like terms: -8f + 8f = 0
20 + 4f = 32 + 0
20 + 4f = 32

Add '-20' to each side of the equation.
20 + -20 + 4f = 32 + -20

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

Combine like terms: 32 + -20 = 12
4f = 12

Divide each side by '4'.
f = 3

Simplifying
f = 3

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