22.5-5f=-9(3f+4.5)

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Solution for 22.5-5f=-9(3f+4.5) equation: 


Simplifying
22.5 + -5f = -9(3f + 4.5)

Reorder the terms:
22.5 + -5f = -9(4.5 + 3f)
22.5 + -5f = (4.5 * -9 + 3f * -9)
22.5 + -5f = (-40.5 + -27f)

Solving
22.5 + -5f = -40.5 + -27f

Solving for variable 'f'.

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

Add '27f' to each side of the equation.
22.5 + -5f + 27f = -40.5 + -27f + 27f

Combine like terms: -5f + 27f = 22f
22.5 + 22f = -40.5 + -27f + 27f

Combine like terms: -27f + 27f = 0
22.5 + 22f = -40.5 + 0
22.5 + 22f = -40.5

Add '-22.5' to each side of the equation.
22.5 + -22.5 + 22f = -40.5 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + 22f = -40.5 + -22.5
22f = -40.5 + -22.5

Combine like terms: -40.5 + -22.5 = -63
22f = -63

Divide each side by '22'.
f = -2.863636364

Simplifying
f = -2.863636364

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