20-2(4f-9)+7(2f-6)+11=

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Solution for 20-2(4f-9)+7(2f-6)+11= equation: 


Simplifying
20 + -2(4f + -9) + 7(2f + -6) + 11 = 0

Reorder the terms:
20 + -2(-9 + 4f) + 7(2f + -6) + 11 = 0
20 + (-9 * -2 + 4f * -2) + 7(2f + -6) + 11 = 0
20 + (18 + -8f) + 7(2f + -6) + 11 = 0

Reorder the terms:
20 + 18 + -8f + 7(-6 + 2f) + 11 = 0
20 + 18 + -8f + (-6 * 7 + 2f * 7) + 11 = 0
20 + 18 + -8f + (-42 + 14f) + 11 = 0

Reorder the terms:
20 + 18 + -42 + 11 + -8f + 14f = 0

Combine like terms: 20 + 18 = 38
38 + -42 + 11 + -8f + 14f = 0

Combine like terms: 38 + -42 = -4
-4 + 11 + -8f + 14f = 0

Combine like terms: -4 + 11 = 7
7 + -8f + 14f = 0

Combine like terms: -8f + 14f = 6f
7 + 6f = 0

Solving
7 + 6f = 0

Solving for variable 'f'.

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

Add '-7' to each side of the equation.
7 + -7 + 6f = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6f = 0 + -7
6f = 0 + -7

Combine like terms: 0 + -7 = -7
6f = -7

Divide each side by '6'.
f = -1.166666667

Simplifying
f = -1.166666667

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