3(f-3)=2(f-4)

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Solution for 3(f-3)=2(f-4) equation:


Simplifying
3(f + -3) = 2(f + -4)

Reorder the terms:
3(-3 + f) = 2(f + -4)
(-3 * 3 + f * 3) = 2(f + -4)
(-9 + 3f) = 2(f + -4)

Reorder the terms:
-9 + 3f = 2(-4 + f)
-9 + 3f = (-4 * 2 + f * 2)
-9 + 3f = (-8 + 2f)

Solving
-9 + 3f = -8 + 2f

Solving for variable 'f'.

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

Add '-2f' to each side of the equation.
-9 + 3f + -2f = -8 + 2f + -2f

Combine like terms: 3f + -2f = 1f
-9 + 1f = -8 + 2f + -2f

Combine like terms: 2f + -2f = 0
-9 + 1f = -8 + 0
-9 + 1f = -8

Add '9' to each side of the equation.
-9 + 9 + 1f = -8 + 9

Combine like terms: -9 + 9 = 0
0 + 1f = -8 + 9
1f = -8 + 9

Combine like terms: -8 + 9 = 1
1f = 1

Divide each side by '1'.
f = 1

Simplifying
f = 1

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