4(2f-9)+6(4-f)=8

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Solution for 4(2f-9)+6(4-f)=8 equation: 


Simplifying
4(2f + -9) + 6(4 + -1f) = 8

Reorder the terms:
4(-9 + 2f) + 6(4 + -1f) = 8
(-9 * 4 + 2f * 4) + 6(4 + -1f) = 8
(-36 + 8f) + 6(4 + -1f) = 8
-36 + 8f + (4 * 6 + -1f * 6) = 8
-36 + 8f + (24 + -6f) = 8

Reorder the terms:
-36 + 24 + 8f + -6f = 8

Combine like terms: -36 + 24 = -12
-12 + 8f + -6f = 8

Combine like terms: 8f + -6f = 2f
-12 + 2f = 8

Solving
-12 + 2f = 8

Solving for variable 'f'.

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

Add '12' to each side of the equation.
-12 + 12 + 2f = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 2f = 8 + 12
2f = 8 + 12

Combine like terms: 8 + 12 = 20
2f = 20

Divide each side by '2'.
f = 10

Simplifying
f = 10

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