(2f+8)=(3f-6)

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Solution for (2f+8)=(3f-6) equation:


Simplifying
(2f + 8) = (3f + -6)

Reorder the terms:
(8 + 2f) = (3f + -6)

Remove parenthesis around (8 + 2f)
8 + 2f = (3f + -6)

Reorder the terms:
8 + 2f = (-6 + 3f)

Remove parenthesis around (-6 + 3f)
8 + 2f = -6 + 3f

Solving
8 + 2f = -6 + 3f

Solving for variable 'f'.

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

Add '-3f' to each side of the equation.
8 + 2f + -3f = -6 + 3f + -3f

Combine like terms: 2f + -3f = -1f
8 + -1f = -6 + 3f + -3f

Combine like terms: 3f + -3f = 0
8 + -1f = -6 + 0
8 + -1f = -6

Add '-8' to each side of the equation.
8 + -8 + -1f = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -1f = -6 + -8
-1f = -6 + -8

Combine like terms: -6 + -8 = -14
-1f = -14

Divide each side by '-1'.
f = 14

Simplifying
f = 14

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