7f-2=3(f+6)

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Solution for 7f-2=3(f+6) equation:


Simplifying
7f + -2 = 3(f + 6)

Reorder the terms:
-2 + 7f = 3(f + 6)

Reorder the terms:
-2 + 7f = 3(6 + f)
-2 + 7f = (6 * 3 + f * 3)
-2 + 7f = (18 + 3f)

Solving
-2 + 7f = 18 + 3f

Solving for variable 'f'.

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

Add '-3f' to each side of the equation.
-2 + 7f + -3f = 18 + 3f + -3f

Combine like terms: 7f + -3f = 4f
-2 + 4f = 18 + 3f + -3f

Combine like terms: 3f + -3f = 0
-2 + 4f = 18 + 0
-2 + 4f = 18

Add '2' to each side of the equation.
-2 + 2 + 4f = 18 + 2

Combine like terms: -2 + 2 = 0
0 + 4f = 18 + 2
4f = 18 + 2

Combine like terms: 18 + 2 = 20
4f = 20

Divide each side by '4'.
f = 5

Simplifying
f = 5

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