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

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


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

Reorder the terms:
4 + 5f = 5(f + -3) + 4f + 3

Reorder the terms:
4 + 5f = 5(-3 + f) + 4f + 3
4 + 5f = (-3 * 5 + f * 5) + 4f + 3
4 + 5f = (-15 + 5f) + 4f + 3

Reorder the terms:
4 + 5f = -15 + 3 + 5f + 4f

Combine like terms: -15 + 3 = -12
4 + 5f = -12 + 5f + 4f

Combine like terms: 5f + 4f = 9f
4 + 5f = -12 + 9f

Solving
4 + 5f = -12 + 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.
4 + 5f + -9f = -12 + 9f + -9f

Combine like terms: 5f + -9f = -4f
4 + -4f = -12 + 9f + -9f

Combine like terms: 9f + -9f = 0
4 + -4f = -12 + 0
4 + -4f = -12

Add '-4' to each side of the equation.
4 + -4 + -4f = -12 + -4

Combine like terms: 4 + -4 = 0
0 + -4f = -12 + -4
-4f = -12 + -4

Combine like terms: -12 + -4 = -16
-4f = -16

Divide each side by '-4'.
f = 4

Simplifying
f = 4

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