3f+4=5f-6

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Solution for 3f+4=5f-6 equation:


Simplifying
3f + 4 = 5f + -6

Reorder the terms:
4 + 3f = 5f + -6

Reorder the terms:
4 + 3f = -6 + 5f

Solving
4 + 3f = -6 + 5f

Solving for variable 'f'.

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

Add '-5f' to each side of the equation.
4 + 3f + -5f = -6 + 5f + -5f

Combine like terms: 3f + -5f = -2f
4 + -2f = -6 + 5f + -5f

Combine like terms: 5f + -5f = 0
4 + -2f = -6 + 0
4 + -2f = -6

Add '-4' to each side of the equation.
4 + -4 + -2f = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -2f = -6 + -4
-2f = -6 + -4

Combine like terms: -6 + -4 = -10
-2f = -10

Divide each side by '-2'.
f = 5

Simplifying
f = 5

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