7.5(4.5f+5)=-21.5+8.5f

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Solution for 7.5(4.5f+5)=-21.5+8.5f equation: 


Simplifying
7.5(4.5f + 5) = -21.5 + 8.5f

Reorder the terms:
7.5(5 + 4.5f) = -21.5 + 8.5f
(5 * 7.5 + 4.5f * 7.5) = -21.5 + 8.5f
(37.5 + 33.75f) = -21.5 + 8.5f

Solving
37.5 + 33.75f = -21.5 + 8.5f

Solving for variable 'f'.

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

Add '-8.5f' to each side of the equation.
37.5 + 33.75f + -8.5f = -21.5 + 8.5f + -8.5f

Combine like terms: 33.75f + -8.5f = 25.25f
37.5 + 25.25f = -21.5 + 8.5f + -8.5f

Combine like terms: 8.5f + -8.5f = 0.0
37.5 + 25.25f = -21.5 + 0.0
37.5 + 25.25f = -21.5

Add '-37.5' to each side of the equation.
37.5 + -37.5 + 25.25f = -21.5 + -37.5

Combine like terms: 37.5 + -37.5 = 0.0
0.0 + 25.25f = -21.5 + -37.5
25.25f = -21.5 + -37.5

Combine like terms: -21.5 + -37.5 = -59
25.25f = -59

Divide each side by '25.25'.
f = -2.336633663

Simplifying
f = -2.336633663

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