5(15f-16)-9=8(13f+7)

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Solution for 5(15f-16)-9=8(13f+7) equation:


Simplifying
5(15f + -16) + -9 = 8(13f + 7)

Reorder the terms:
5(-16 + 15f) + -9 = 8(13f + 7)
(-16 * 5 + 15f * 5) + -9 = 8(13f + 7)
(-80 + 75f) + -9 = 8(13f + 7)

Reorder the terms:
-80 + -9 + 75f = 8(13f + 7)

Combine like terms: -80 + -9 = -89
-89 + 75f = 8(13f + 7)

Reorder the terms:
-89 + 75f = 8(7 + 13f)
-89 + 75f = (7 * 8 + 13f * 8)
-89 + 75f = (56 + 104f)

Solving
-89 + 75f = 56 + 104f

Solving for variable 'f'.

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

Add '-104f' to each side of the equation.
-89 + 75f + -104f = 56 + 104f + -104f

Combine like terms: 75f + -104f = -29f
-89 + -29f = 56 + 104f + -104f

Combine like terms: 104f + -104f = 0
-89 + -29f = 56 + 0
-89 + -29f = 56

Add '89' to each side of the equation.
-89 + 89 + -29f = 56 + 89

Combine like terms: -89 + 89 = 0
0 + -29f = 56 + 89
-29f = 56 + 89

Combine like terms: 56 + 89 = 145
-29f = 145

Divide each side by '-29'.
f = -5

Simplifying
f = -5

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