17(f-1)=10f+39

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Solution for 17(f-1)=10f+39 equation:


Simplifying
17(f + -1) = 10f + 39

Reorder the terms:
17(-1 + f) = 10f + 39
(-1 * 17 + f * 17) = 10f + 39
(-17 + 17f) = 10f + 39

Reorder the terms:
-17 + 17f = 39 + 10f

Solving
-17 + 17f = 39 + 10f

Solving for variable 'f'.

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

Add '-10f' to each side of the equation.
-17 + 17f + -10f = 39 + 10f + -10f

Combine like terms: 17f + -10f = 7f
-17 + 7f = 39 + 10f + -10f

Combine like terms: 10f + -10f = 0
-17 + 7f = 39 + 0
-17 + 7f = 39

Add '17' to each side of the equation.
-17 + 17 + 7f = 39 + 17

Combine like terms: -17 + 17 = 0
0 + 7f = 39 + 17
7f = 39 + 17

Combine like terms: 39 + 17 = 56
7f = 56

Divide each side by '7'.
f = 8

Simplifying
f = 8

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