24.5=-3.5(9f-2.5)

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Solution for 24.5=-3.5(9f-2.5) equation: 


Simplifying
24.5 = -3.5(9f + -2.5)

Reorder the terms:
24.5 = -3.5(-2.5 + 9f)
24.5 = (-2.5 * -3.5 + 9f * -3.5)
24.5 = (8.75 + -31.5f)

Solving
24.5 = 8.75 + -31.5f

Solving for variable 'f'.

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

Add '31.5f' to each side of the equation.
24.5 + 31.5f = 8.75 + -31.5f + 31.5f

Combine like terms: -31.5f + 31.5f = 0.0
24.5 + 31.5f = 8.75 + 0.0
24.5 + 31.5f = 8.75

Add '-24.5' to each side of the equation.
24.5 + -24.5 + 31.5f = 8.75 + -24.5

Combine like terms: 24.5 + -24.5 = 0.0
0.0 + 31.5f = 8.75 + -24.5
31.5f = 8.75 + -24.5

Combine like terms: 8.75 + -24.5 = -15.75
31.5f = -15.75

Divide each side by '31.5'.
f = -0.5

Simplifying
f = -0.5

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