3f+9=10f-5

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Solution for 3f+9=10f-5 equation:


Simplifying
3f + 9 = 10f + -5

Reorder the terms:
9 + 3f = 10f + -5

Reorder the terms:
9 + 3f = -5 + 10f

Solving
9 + 3f = -5 + 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.
9 + 3f + -10f = -5 + 10f + -10f

Combine like terms: 3f + -10f = -7f
9 + -7f = -5 + 10f + -10f

Combine like terms: 10f + -10f = 0
9 + -7f = -5 + 0
9 + -7f = -5

Add '-9' to each side of the equation.
9 + -9 + -7f = -5 + -9

Combine like terms: 9 + -9 = 0
0 + -7f = -5 + -9
-7f = -5 + -9

Combine like terms: -5 + -9 = -14
-7f = -14

Divide each side by '-7'.
f = 2

Simplifying
f = 2

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