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

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


Simplifying
3(f + 3) = 7 + 3f + 6 + -1f

Reorder the terms:
3(3 + f) = 7 + 3f + 6 + -1f
(3 * 3 + f * 3) = 7 + 3f + 6 + -1f
(9 + 3f) = 7 + 3f + 6 + -1f

Reorder the terms:
9 + 3f = 7 + 6 + 3f + -1f

Combine like terms: 7 + 6 = 13
9 + 3f = 13 + 3f + -1f

Combine like terms: 3f + -1f = 2f
9 + 3f = 13 + 2f

Solving
9 + 3f = 13 + 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.
9 + 3f + -2f = 13 + 2f + -2f

Combine like terms: 3f + -2f = 1f
9 + 1f = 13 + 2f + -2f

Combine like terms: 2f + -2f = 0
9 + 1f = 13 + 0
9 + 1f = 13

Add '-9' to each side of the equation.
9 + -9 + 1f = 13 + -9

Combine like terms: 9 + -9 = 0
0 + 1f = 13 + -9
1f = 13 + -9

Combine like terms: 13 + -9 = 4
1f = 4

Divide each side by '1'.
f = 4

Simplifying
f = 4

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