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

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


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

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

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

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

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

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

Solving
6 + 6f = -24 + -20f

Solving for variable 'f'.

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

Add '20f' to each side of the equation.
6 + 6f + 20f = -24 + -20f + 20f

Combine like terms: 6f + 20f = 26f
6 + 26f = -24 + -20f + 20f

Combine like terms: -20f + 20f = 0
6 + 26f = -24 + 0
6 + 26f = -24

Add '-6' to each side of the equation.
6 + -6 + 26f = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 26f = -24 + -6
26f = -24 + -6

Combine like terms: -24 + -6 = -30
26f = -30

Divide each side by '26'.
f = -1.153846154

Simplifying
f = -1.153846154

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