2f-17f-19=10f+4(-9f+20)

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Solution for 2f-17f-19=10f+4(-9f+20) equation:


Simplifying
2f + -17f + -19 = 10f + 4(-9f + 20)

Reorder the terms:
-19 + 2f + -17f = 10f + 4(-9f + 20)

Combine like terms: 2f + -17f = -15f
-19 + -15f = 10f + 4(-9f + 20)

Reorder the terms:
-19 + -15f = 10f + 4(20 + -9f)
-19 + -15f = 10f + (20 * 4 + -9f * 4)
-19 + -15f = 10f + (80 + -36f)

Reorder the terms:
-19 + -15f = 80 + 10f + -36f

Combine like terms: 10f + -36f = -26f
-19 + -15f = 80 + -26f

Solving
-19 + -15f = 80 + -26f

Solving for variable 'f'.

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

Add '26f' to each side of the equation.
-19 + -15f + 26f = 80 + -26f + 26f

Combine like terms: -15f + 26f = 11f
-19 + 11f = 80 + -26f + 26f

Combine like terms: -26f + 26f = 0
-19 + 11f = 80 + 0
-19 + 11f = 80

Add '19' to each side of the equation.
-19 + 19 + 11f = 80 + 19

Combine like terms: -19 + 19 = 0
0 + 11f = 80 + 19
11f = 80 + 19

Combine like terms: 80 + 19 = 99
11f = 99

Divide each side by '11'.
f = 9

Simplifying
f = 9

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