6(f+5)=2f-8

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Solution for 6(f+5)=2f-8 equation: 


Simplifying
6(f + 5) = 2f + -8

Reorder the terms:
6(5 + f) = 2f + -8
(5 * 6 + f * 6) = 2f + -8
(30 + 6f) = 2f + -8

Reorder the terms:
30 + 6f = -8 + 2f

Solving
30 + 6f = -8 + 2f

Solving for variable 'f'.

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

Add '-2f' to each side of the equation.
30 + 6f + -2f = -8 + 2f + -2f

Combine like terms: 6f + -2f = 4f
30 + 4f = -8 + 2f + -2f

Combine like terms: 2f + -2f = 0
30 + 4f = -8 + 0
30 + 4f = -8

Add '-30' to each side of the equation.
30 + -30 + 4f = -8 + -30

Combine like terms: 30 + -30 = 0
0 + 4f = -8 + -30
4f = -8 + -30

Combine like terms: -8 + -30 = -38
4f = -38

Divide each side by '4'.
f = -9.5

Simplifying
f = -9.5

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