8(2f-2)=7(3f+2)

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Solution for 8(2f-2)=7(3f+2) equation:


Simplifying
8(2f + -2) = 7(3f + 2)

Reorder the terms:
8(-2 + 2f) = 7(3f + 2)
(-2 * 8 + 2f * 8) = 7(3f + 2)
(-16 + 16f) = 7(3f + 2)

Reorder the terms:
-16 + 16f = 7(2 + 3f)
-16 + 16f = (2 * 7 + 3f * 7)
-16 + 16f = (14 + 21f)

Solving
-16 + 16f = 14 + 21f

Solving for variable 'f'.

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

Add '-21f' to each side of the equation.
-16 + 16f + -21f = 14 + 21f + -21f

Combine like terms: 16f + -21f = -5f
-16 + -5f = 14 + 21f + -21f

Combine like terms: 21f + -21f = 0
-16 + -5f = 14 + 0
-16 + -5f = 14

Add '16' to each side of the equation.
-16 + 16 + -5f = 14 + 16

Combine like terms: -16 + 16 = 0
0 + -5f = 14 + 16
-5f = 14 + 16

Combine like terms: 14 + 16 = 30
-5f = 30

Divide each side by '-5'.
f = -6

Simplifying
f = -6

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