19(f+2)=7f-20+5f-5

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Solution for 19(f+2)=7f-20+5f-5 equation: 


Simplifying
19(f + 2) = 7f + -20 + 5f + -5

Reorder the terms:
19(2 + f) = 7f + -20 + 5f + -5
(2 * 19 + f * 19) = 7f + -20 + 5f + -5
(38 + 19f) = 7f + -20 + 5f + -5

Reorder the terms:
38 + 19f = -20 + -5 + 7f + 5f

Combine like terms: -20 + -5 = -25
38 + 19f = -25 + 7f + 5f

Combine like terms: 7f + 5f = 12f
38 + 19f = -25 + 12f

Solving
38 + 19f = -25 + 12f

Solving for variable 'f'.

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

Add '-12f' to each side of the equation.
38 + 19f + -12f = -25 + 12f + -12f

Combine like terms: 19f + -12f = 7f
38 + 7f = -25 + 12f + -12f

Combine like terms: 12f + -12f = 0
38 + 7f = -25 + 0
38 + 7f = -25

Add '-38' to each side of the equation.
38 + -38 + 7f = -25 + -38

Combine like terms: 38 + -38 = 0
0 + 7f = -25 + -38
7f = -25 + -38

Combine like terms: -25 + -38 = -63
7f = -63

Divide each side by '7'.
f = -9

Simplifying
f = -9

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