5(-6f+9)=3(5-11f)

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Solution for 5(-6f+9)=3(5-11f) equation: 


Simplifying
5(-6f + 9) = 3(5 + -11f)

Reorder the terms:
5(9 + -6f) = 3(5 + -11f)
(9 * 5 + -6f * 5) = 3(5 + -11f)
(45 + -30f) = 3(5 + -11f)
45 + -30f = (5 * 3 + -11f * 3)
45 + -30f = (15 + -33f)

Solving
45 + -30f = 15 + -33f

Solving for variable 'f'.

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

Add '33f' to each side of the equation.
45 + -30f + 33f = 15 + -33f + 33f

Combine like terms: -30f + 33f = 3f
45 + 3f = 15 + -33f + 33f

Combine like terms: -33f + 33f = 0
45 + 3f = 15 + 0
45 + 3f = 15

Add '-45' to each side of the equation.
45 + -45 + 3f = 15 + -45

Combine like terms: 45 + -45 = 0
0 + 3f = 15 + -45
3f = 15 + -45

Combine like terms: 15 + -45 = -30
3f = -30

Divide each side by '3'.
f = -10

Simplifying
f = -10

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