10-f=7f-10+4

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Solution for 10-f=7f-10+4 equation:


Simplifying
10 + -1f = 7f + -10 + 4

Reorder the terms:
10 + -1f = -10 + 4 + 7f

Combine like terms: -10 + 4 = -6
10 + -1f = -6 + 7f

Solving
10 + -1f = -6 + 7f

Solving for variable 'f'.

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

Add '-7f' to each side of the equation.
10 + -1f + -7f = -6 + 7f + -7f

Combine like terms: -1f + -7f = -8f
10 + -8f = -6 + 7f + -7f

Combine like terms: 7f + -7f = 0
10 + -8f = -6 + 0
10 + -8f = -6

Add '-10' to each side of the equation.
10 + -10 + -8f = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -8f = -6 + -10
-8f = -6 + -10

Combine like terms: -6 + -10 = -16
-8f = -16

Divide each side by '-8'.
f = 2

Simplifying
f = 2

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