4(2f+3)+5=3(3f-1)

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Solution for 4(2f+3)+5=3(3f-1) equation:


Simplifying
4(2f + 3) + 5 = 3(3f + -1)

Reorder the terms:
4(3 + 2f) + 5 = 3(3f + -1)
(3 * 4 + 2f * 4) + 5 = 3(3f + -1)
(12 + 8f) + 5 = 3(3f + -1)

Reorder the terms:
12 + 5 + 8f = 3(3f + -1)

Combine like terms: 12 + 5 = 17
17 + 8f = 3(3f + -1)

Reorder the terms:
17 + 8f = 3(-1 + 3f)
17 + 8f = (-1 * 3 + 3f * 3)
17 + 8f = (-3 + 9f)

Solving
17 + 8f = -3 + 9f

Solving for variable 'f'.

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

Add '-9f' to each side of the equation.
17 + 8f + -9f = -3 + 9f + -9f

Combine like terms: 8f + -9f = -1f
17 + -1f = -3 + 9f + -9f

Combine like terms: 9f + -9f = 0
17 + -1f = -3 + 0
17 + -1f = -3

Add '-17' to each side of the equation.
17 + -17 + -1f = -3 + -17

Combine like terms: 17 + -17 = 0
0 + -1f = -3 + -17
-1f = -3 + -17

Combine like terms: -3 + -17 = -20
-1f = -20

Divide each side by '-1'.
f = 20

Simplifying
f = 20

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