5f-3(f-5)=4f-7

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Solution for 5f-3(f-5)=4f-7 equation: 


Simplifying
5f + -3(f + -5) = 4f + -7

Reorder the terms:
5f + -3(-5 + f) = 4f + -7
5f + (-5 * -3 + f * -3) = 4f + -7
5f + (15 + -3f) = 4f + -7

Reorder the terms:
15 + 5f + -3f = 4f + -7

Combine like terms: 5f + -3f = 2f
15 + 2f = 4f + -7

Reorder the terms:
15 + 2f = -7 + 4f

Solving
15 + 2f = -7 + 4f

Solving for variable 'f'.

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

Add '-4f' to each side of the equation.
15 + 2f + -4f = -7 + 4f + -4f

Combine like terms: 2f + -4f = -2f
15 + -2f = -7 + 4f + -4f

Combine like terms: 4f + -4f = 0
15 + -2f = -7 + 0
15 + -2f = -7

Add '-15' to each side of the equation.
15 + -15 + -2f = -7 + -15

Combine like terms: 15 + -15 = 0
0 + -2f = -7 + -15
-2f = -7 + -15

Combine like terms: -7 + -15 = -22
-2f = -22

Divide each side by '-2'.
f = 11

Simplifying
f = 11

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