3(f+6)=5f+16

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Solution for 3(f+6)=5f+16 equation: 


Simplifying
3(f + 6) = 5f + 16

Reorder the terms:
3(6 + f) = 5f + 16
(6 * 3 + f * 3) = 5f + 16
(18 + 3f) = 5f + 16

Reorder the terms:
18 + 3f = 16 + 5f

Solving
18 + 3f = 16 + 5f

Solving for variable 'f'.

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

Add '-5f' to each side of the equation.
18 + 3f + -5f = 16 + 5f + -5f

Combine like terms: 3f + -5f = -2f
18 + -2f = 16 + 5f + -5f

Combine like terms: 5f + -5f = 0
18 + -2f = 16 + 0
18 + -2f = 16

Add '-18' to each side of the equation.
18 + -18 + -2f = 16 + -18

Combine like terms: 18 + -18 = 0
0 + -2f = 16 + -18
-2f = 16 + -18

Combine like terms: 16 + -18 = -2
-2f = -2

Divide each side by '-2'.
f = 1

Simplifying
f = 1

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