2(3f-1)+4=4*-1-4(5-1f)

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Solution for 2(3f-1)+4=4*-1-4(5-1f) equation: 


Simplifying
2(3f + -1) + 4 = 4 * -1 + -4(5 + -1f)

Reorder the terms:
2(-1 + 3f) + 4 = 4 * -1 + -4(5 + -1f)
(-1 * 2 + 3f * 2) + 4 = 4 * -1 + -4(5 + -1f)
(-2 + 6f) + 4 = 4 * -1 + -4(5 + -1f)

Reorder the terms:
-2 + 4 + 6f = 4 * -1 + -4(5 + -1f)

Combine like terms: -2 + 4 = 2
2 + 6f = 4 * -1 + -4(5 + -1f)

Multiply 4 * -1
2 + 6f = -4 + -4(5 + -1f)
2 + 6f = -4 + (5 * -4 + -1f * -4)
2 + 6f = -4 + (-20 + 4f)

Combine like terms: -4 + -20 = -24
2 + 6f = -24 + 4f

Solving
2 + 6f = -24 + 4f

Solving for variable 'f'.

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

Add '-4f' to each side of the equation.
2 + 6f + -4f = -24 + 4f + -4f

Combine like terms: 6f + -4f = 2f
2 + 2f = -24 + 4f + -4f

Combine like terms: 4f + -4f = 0
2 + 2f = -24 + 0
2 + 2f = -24

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

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

Combine like terms: -24 + -2 = -26
2f = -26

Divide each side by '2'.
f = -13

Simplifying
f = -13

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